\u0631\u064a\u0627\u0636\u064a\u0627\u062a \u0627\u0644\u0635\u0641 \u0627\u0644\u0639\u0627\u0634\u0631: \u0627\u0644\u062f\u0648\u0627\u0644 \u0648\u0627\u0644\u062a\u0645\u062b\u064a\u0644 \u0627\u0644\u0628\u064a\u0627\u0646\u064a (\u0634\u0631\u062d + \u0623\u0645\u062b\u0644\u0629 + \u062a\u062f\u0631\u064a\u0628\u0627\u062a)<\/title>\n<style>\n :root{\n --brand:#bdb76b; \/* \u0630\u0647\u0628\u064a \u0641\u0627\u062a\u062d *\/\n --ink:#0f172a;\n --sub:#475569;\n --muted:#64748b;\n --bg:#ffffff;\n --chip:#f8fafc;\n --note:#fffbea;\n --note-b:#fde68a;\n --tips:#f0fdf4;\n --tips-b:#bbf7d0;\n --warn:#fff1f2;\n --warn-b:#fecdd3;\n }\n html,body{background:var(--bg); color:#222; font-family:\"Segoe UI\",Tahoma,Arial,sans-serif; line-height:1.9; margin:0}\n article{max-width:980px; margin:24px auto; padding:24px}\n h1,h2,h3{color:var(--ink); margin:1.2em 0 .5em}\n h1{font-size:32px;} h2{font-size:24px;} h3{font-size:19px}\n p{margin:.8em 0}\n .sub{color:var(--sub)}\n .lead{font-size:18px; color:var(--ink)}\n .toc{background:var(--chip); border:1px solid #e2e8f0; border-radius:14px; padding:14px 16px}\n .toc a{color:#111; text-decoration:none}\n .toc ol{margin:.5em 1.2em}\n .pill{display:inline-block; padding:.2em .6em; border-radius:999px; background:var(--brand); color:#111; font-weight:600; font-size:12px; margin-left:6px}\n .note{background:var(--note); border:1px solid var(--note-b); border-radius:12px; padding:12px 14px}\n .tips{background:var(--tips); border:1px solid var(--tips-b); border-radius:12px; padding:12px 14px}\n .warn{background:var(--warn); border:1px solid var(--warn-b); border-radius:12px; padding:12px 14px}\n .grid{display:grid; gap:12px}\n .g2{grid-template-columns:repeat(2,minmax(0,1fr))}\n @media(max-width:800px){ .g2{grid-template-columns:1fr} }\n figure{margin:16px auto; text-align:center}\n figcaption{font-size:13px; color:var(--muted)}\n table{border-collapse:collapse; width:100%; margin:14px 0; font-size:15px}\n th,td{border:1px solid #e5e7eb; padding:8px 10px; text-align:right}\n th{background:#f8fafc}\n code.kbd{font-family:ui-monospace,Menlo,monospace; background:#f1f5f9; padding:2px 6px; border-radius:6px}\n .icon{font-style:normal; margin-left:.3em}\n .hr{height:1px; background:#e2e8f0; margin:18px 0}\n details{background:#f8fafc; border:1px solid #e2e8f0; padding:10px 12px; border-radius:12px; margin:10px 0}\n summary{cursor:pointer; font-weight:700}\n .cta{background:#eef2ff; border:1px solid #c7d2fe; border-radius:12px; padding:12px 14px}\n .tag{background:#e2e8f0; color:#111; border-radius:8px; padding:.1em .5em; font-size:12px; margin-left:6px}\n .badge{background:#f1f5f9; border:1px dashed var(--brand); border-radius:10px; padding:.3em .6em; font-size:12px; color:#111}\n .foot{color:var(--muted); font-size:13px; margin-top:28px}\n a{color:#0f172a}\n<\/style>\n<\/head>\n<body>\n<article>\n <header>\n <h1>\ud83d\udcd8 \u0631\u064a\u0627\u0636\u064a\u0627\u062a \u0627\u0644\u0635\u0641 \u0627\u0644\u0639\u0627\u0634\u0631: \u0627\u0644\u062f\u0648\u0627\u0644 \u0648\u0627\u0644\u062a\u0645\u062b\u064a\u0644 \u0627\u0644\u0628\u064a\u0627\u0646\u064a <span class=\"pill\">\u0634\u0631\u062d + \u0623\u0645\u062b\u0644\u0629 + \u062a\u062f\u0631\u064a\u0628\u0627\u062a<\/span><\/h1>\n <p class=\"sub\">\u0647\u0630\u0627 \u0627\u0644\u062f\u0631\u0633 \u0627\u0644\u0634\u0627\u0645\u0644 \u064a\u0636\u0639\u0643 \u0639\u0644\u0649 \u0627\u0644\u0637\u0631\u064a\u0642 \u0627\u0644\u0635\u062d\u064a\u062d \u0644\u0641\u0647\u0645 \u0627\u0644\u062f\u0648\u0627\u0644 \u0628\u0623\u0646\u0648\u0627\u0639\u0647\u0627 (\u0627\u0644\u062e\u0637\u064a\u0629 \u0648\u0627\u0644\u062a\u0631\u0628\u064a\u0639\u064a\u0629 \u0648\u0644\u0645\u062d\u0629 \u0639\u0646 \u0627\u0644\u0623\u0633\u064a\u0629) \u0648\u0643\u064a\u0641\u064a\u0629 \u062a\u0645\u062b\u064a\u0644\u0647\u0627 \u0648\u0642\u0631\u0627\u0621\u0629 \u062e\u0635\u0627\u0626\u0635\u0647\u0627 \u0645\u0646 \u0627\u0644\u0631\u0633\u0645.<\/p>\n <\/header>\n\n <section class=\"toc\">\n <strong>\u0641\u0647\u0631\u0633 \u0627\u0644\u0645\u062d\u062a\u0648\u064a\u0627\u062a<\/strong>\n <ol>\n <li><a href=\"#objectives\">\ud83c\udfaf \u0623\u0647\u062f\u0627\u0641 \u0627\u0644\u062a\u0639\u0644\u0651\u0645 \u0648\u0627\u0644\u0645\u062a\u0637\u0644\u0628\u0627\u062a \u0627\u0644\u0645\u0633\u0628\u0642\u0629<\/a><\/li>\n <li><a href=\"#definition\">\ud83d\udcd0 \u0645\u0627 \u0647\u064a \u0627\u0644\u062f\u0627\u0644\u0629\u061f \u0627\u0644\u0645\u062c\u0627\u0644 \u0648\u0627\u0644\u0645\u062f\u0649<\/a><\/li>\n <li><a href=\"#linear\">\ud83d\udcc8 \u0627\u0644\u062f\u0627\u0644\u0629 \u0627\u0644\u062e\u0637\u064a\u0629: \u0627\u0644\u0645\u064a\u0644 \u0648\u0627\u0644\u0645\u0642\u0637\u0639 \u0648\u0637\u0631\u064a\u0642\u0629 \u0627\u0644\u0631\u0633\u0645<\/a><\/li>\n <li><a href=\"#quadratic\">\ud83d\udff0 \u0627\u0644\u062f\u0627\u0644\u0629 \u0627\u0644\u062a\u0631\u0628\u064a\u0639\u064a\u0629: \u0627\u0644\u0631\u0623\u0633 \u0648\u0645\u062d\u0648\u0631 \u0627\u0644\u062a\u0645\u0627\u062b\u0644 \u0648\u0635\u064a\u063a \u0627\u0644\u062a\u0645\u062b\u064a\u0644<\/a><\/li>\n <li><a href=\"#exponential\">\ud83d\udcca \u0644\u0645\u062d\u0629 \u0633\u0631\u064a\u0639\u0629: \u0627\u0644\u062f\u0627\u0644\u0629 \u0627\u0644\u0623\u0633\u064a\u0629 \u0648\u0627\u0644\u0646\u0645\u0648\/\u0627\u0644\u0627\u0636\u0645\u062d\u0644\u0627\u0644<\/a><\/li>\n <li><a href=\"#transform\">\ud83d\udd01 \u0627\u0644\u062a\u062d\u0648\u064a\u0644\u0627\u062a \u0639\u0644\u0649 \u0627\u0644\u0631\u0633\u0648\u0645: \u0627\u0644\u0625\u0632\u0627\u062d\u0629 \u0648\u0627\u0644\u0627\u0646\u0639\u0643\u0627\u0633 \u0648\u0627\u0644\u062a\u0645\u062f\u062f<\/a><\/li>\n <li><a href=\"#read-graph\">\ud83d\udd0e \u0642\u0631\u0627\u0621\u0629 \u0627\u0644\u0631\u0633\u0645: \u0632\u064a\u0627\u062f\u0627\u062a\/\u0646\u0642\u0635\u0627\u0646 \u0648\u0642\u064a\u0645 \u0639\u0638\u0645\u0649\/\u0635\u063a\u0631\u0649 \u0648 \u0646\u0642\u0627\u0637 \u0627\u0644\u062a\u0642\u0627\u0637\u0639<\/a><\/li>\n <li><a href=\"#models\">\ud83e\udde9 \u0645\u0633\u0627\u0626\u0644 \u0644\u0641\u0638\u064a\u0629: \u0646\u0645\u0630\u062c\u0629 \u0645\u0648\u0627\u0642\u0641 \u062d\u064a\u0627\u062a\u064a\u0629<\/a><\/li>\n <li><a href=\"#practice\">\ud83d\udcdd \u062a\u0645\u0627\u0631\u064a\u0646 \u062a\u062f\u0631\u064a\u0628\u064a\u0629 (20 \u0633\u0624\u0627\u0644) + \u0627\u0644\u062d\u0644\u0648\u0644<\/a><\/li>\n <li><a href=\"#mistakes\">\u26a0\ufe0f \u0623\u062e\u0637\u0627\u0621 \u0634\u0627\u0626\u0639\u0629 \u0648\u0643\u064a\u0641 \u062a\u062a\u062c\u0646\u0628\u0647\u0627<\/a><\/li>\n <li><a href=\"#study-tips\">\ud83d\udca1 \u062e\u0637\u0629 \u0645\u0630\u0627\u0643\u0631\u0629 \u0648\u0627\u0642\u062a\u0631\u0627\u062d\u0627\u062a \u0644\u0644\u0645\u0631\u0627\u062c\u0639\u0629<\/a><\/li>\n <\/ol>\n <\/section>\n\n <section id=\"objectives\">\n <h2>\ud83c\udfaf \u0623\u0647\u062f\u0627\u0641 \u0627\u0644\u062a\u0639\u0644\u0651\u0645 \u0648\u0627\u0644\u0645\u062a\u0637\u0644\u0628\u0627\u062a \u0627\u0644\u0645\u0633\u0628\u0642\u0629<\/h2>\n <div class=\"grid g2\">\n <div class=\"tips\">\n <strong class=\"icon\">\u2705<\/strong> \u0628\u0646\u0647\u0627\u064a\u0629 \u0647\u0630\u0627 \u0627\u0644\u062f\u0631\u0633 \u0633\u062a\u0643\u0648\u0646 \u0642\u0627\u062f\u0631\u064b\u0627 \u0639\u0644\u0649:\n <ul>\n <li>\u062a\u0639\u0631\u064a\u0641 \u0627\u0644\u062f\u0627\u0644\u0629 \u0648\u062a\u0645\u064a\u064a\u0632 \u0645\u062c\u0627\u0644\u0647\u0627 \u0648\u0645\u062f\u0649 \u0642\u064a\u0645\u0647\u0627.<\/li>\n <li>\u0631\u0633\u0645 \u0627\u0644\u062f\u0648\u0627\u0644 \u0627\u0644\u062e\u0637\u064a\u0629 \u0648\u0627\u0644\u062a\u0631\u0628\u064a\u0639\u064a\u0629 \u0648\u0642\u0631\u0627\u0621\u0629 \u062e\u0635\u0627\u0626\u0635\u0647\u0627.<\/li>\n <li>\u062a\u0637\u0628\u064a\u0642 \u062a\u062d\u0648\u064a\u0644\u0627\u062a \u0627\u0644\u0631\u0633\u0648\u0645 (\u0625\u0632\u0627\u062d\u0629\/\u0627\u0646\u0639\u0643\u0627\u0633\/\u062a\u0645\u062f\u062f).<\/li>\n <li>\u062d\u0644 \u0645\u0633\u0627\u0626\u0644 \u0644\u0641\u0638\u064a\u0629 \u0648\u062a\u0641\u0633\u064a\u0631 \u0627\u0644\u0646\u062a\u0627\u0626\u062c.<\/li>\n <\/ul>\n <\/div>\n <div class=\"note\">\n <strong class=\"icon\">\u2139\ufe0f<\/strong> \u0627\u0644\u0645\u062a\u0637\u0644\u0628\u0627\u062a \u0627\u0644\u0645\u0633\u0628\u0642\u0629:\n <ul>\n <li>\u0639\u0645\u0644\u064a\u0627\u062a \u062c\u0628\u0631\u064a\u0629 \u0623\u0633\u0627\u0633\u064a\u0629 \u0648\u062a\u0628\u0633\u064a\u0637 \u0627\u0644\u062a\u0639\u0627\u0628\u064a\u0631.<\/li>\n <li>\u0646\u0642\u0627\u0637 \u0639\u0644\u0649 \u0627\u0644\u0645\u0633\u062a\u0648\u0649 \u0627\u0644\u0625\u062d\u062f\u0627\u062b\u064a \u0648\u062d\u0633\u0627\u0628 \u0627\u0644\u0645\u064a\u0644 <code class=\"kbd\">(y2 - y1) \/ (x2 - x1)<\/code>.<\/li>\n <\/ul>\n <\/div>\n <\/div>\n <\/section>\n\n <section id=\"definition\">\n <h2>\ud83d\udcd0 \u0645\u0627 \u0647\u064a \u0627\u0644\u062f\u0627\u0644\u0629\u061f \u0627\u0644\u0645\u062c\u0627\u0644 \u0648\u0627\u0644\u0645\u062f\u0649<\/h2>\n <p><strong>\u0627\u0644\u062f\u0627\u0644\u0629<\/strong> \u0639\u0644\u0627\u0642\u0629 \u062a\u0631\u0628\u0637 \u0643\u0644 \u0639\u0646\u0635\u0631 \u0645\u0646 <em>\u0627\u0644\u0645\u062c\u0627\u0644<\/em> (\u0642\u064a\u0645 <code class=\"kbd\">x<\/code>) \u0628\u0642\u064a\u0645\u0629 \u0648\u0627\u062d\u062f\u0629 \u0641\u0642\u0637 \u0641\u064a <em>\u0627\u0644\u0645\u062f\u0649<\/em> (\u0642\u064a\u0645 <code class=\"kbd\">y<\/code>). \u0646\u0643\u062a\u0628\u0647\u0627 \u0639\u0627\u062f\u0629: <code class=\"kbd\">y = f(x)<\/code>.<\/p>\n <ul>\n <li><strong>\u0627\u0644\u0645\u062c\u0627\u0644 (Domain):<\/strong> \u062c\u0645\u064a\u0639 \u0642\u064a\u0645 <code class=\"kbd\">x<\/code> \u0627\u0644\u0645\u0633\u0645\u0648\u062d \u0628\u0647\u0627.<\/li>\n <li><strong>\u0627\u0644\u0645\u062f\u0649 (Range):<\/strong> \u0627\u0644\u0642\u064a\u0645 \u0627\u0644\u0646\u0627\u062a\u062c\u0629 \u0644\u0640 <code class=\"kbd\">y<\/code> \u0639\u0646\u062f \u0627\u0644\u062a\u0639\u0648\u064a\u0636 \u0641\u064a \u0627\u0644\u062f\u0627\u0644\u0629.<\/li>\n <\/ul>\n <div class=\"tips\">\n <strong>\u0627\u062e\u062a\u0628\u0627\u0631 \u0627\u0644\u062e\u0637 \u0627\u0644\u0645\u0633\u062a\u0642\u064a\u0645:<\/strong> \u0625\u0630\u0627 \u0642\u0637\u0639 \u0623\u064a \u062e\u0637 \u0645\u0633\u062a\u0642\u064a\u0645 \u0627\u0644\u0631\u0633\u0645 \u0641\u064a \u0623\u0643\u062b\u0631 \u0645\u0646 \u0646\u0642\u0637\u0629\u060c \u0641\u0647\u0630\u0627 <em>\u0644\u064a\u0633<\/em> \u062a\u0645\u062b\u064a\u0644 \u062f\u0627\u0644\u0629.\n <\/div>\n <\/section>\n\n <section id=\"linear\">\n <h2>\ud83d\udcc8 \u0627\u0644\u062f\u0627\u0644\u0629 \u0627\u0644\u062e\u0637\u064a\u0629: \u0627\u0644\u0645\u064a\u0644 \u0648\u0627\u0644\u0645\u0642\u0637\u0639 \u0648\u0637\u0631\u064a\u0642\u0629 \u0627\u0644\u0631\u0633\u0645<\/h2>\n <p>\u0635\u064a\u063a\u062a\u0647\u0627 \u0627\u0644\u0634\u0627\u0626\u0639\u0629: <code class=\"kbd\">y = mx + b<\/code> \u062d\u064a\u062b <span class=\"badge\">m = \u0627\u0644\u0645\u064a\u0644<\/span> \u0648 <span class=\"badge\">b = \u0646\u0642\u0637\u0629 \u0627\u0644\u062a\u0642\u0627\u0637\u0639 \u0645\u0639 \u0645\u062d\u0648\u0631 y<\/span>.<\/p>\n <div class=\"grid g2\">\n <div>\n <h3>\u062e\u0637\u0648\u0627\u062a \u0627\u0644\u0631\u0633\u0645<\/h3>\n <ol>\n <li>\u062d\u062f\u0651\u062f <code class=\"kbd\">b<\/code> \u0648\u0627\u0631\u0633\u0645 \u0627\u0644\u0646\u0642\u0637\u0629 \u0639\u0644\u0649 \u0645\u062d\u0648\u0631 <code class=\"kbd\">y<\/code>.<\/li>\n <li>\u0627\u0633\u062a\u062e\u062f\u0645 \u0627\u0644\u0645\u064a\u0644 <code class=\"kbd\">m = \u0394y\/\u0394x<\/code> \u0644\u0644\u0627\u0646\u062a\u0642\u0627\u0644 \u0645\u0646 \u0627\u0644\u0646\u0642\u0637\u0629 \u0627\u0644\u0623\u0648\u0644\u0649 \u0625\u0644\u0649 \u0627\u0644\u062b\u0627\u0646\u064a\u0629.<\/li>\n <li>\u0627\u0631\u0633\u0645 \u062e\u0637\u064b\u0627 \u064a\u0645\u0631 \u0628\u0627\u0644\u0646\u0642\u0637\u062a\u064a\u0646 \u0648\u0627\u0645\u062a\u062f\u0647.<\/li>\n <\/ol>\n <\/div>\n <div>\n <h3>\u0645\u062b\u0627\u0644 \u0645\u062d\u0644\u0648\u0644 1<\/h3>\n <p>\u0627\u0631\u0633\u0645 <code class=\"kbd\">y = 2x - 3<\/code>.<\/p>\n <ul>\n <li><strong>\u0627\u0644\u0645\u064a\u0644:<\/strong> <code class=\"kbd\">m = 2<\/code> \u0623\u064a \u0627\u0644\u0635\u0639\u0648\u062f 2 \u0648\u0627\u0644\u0648\u0635\u0648\u0644 \u064a\u0645\u064a\u0646\u064b\u0627 1.<\/li>\n <li><strong>\u0627\u0644\u0645\u0642\u0637\u0639:<\/strong> <code class=\"kbd\">b = -3<\/code> (\u0627\u0644\u0646\u0642\u0637\u0629 <code class=\"kbd\">(0, -3)<\/code>).<\/li>\n <li>\u0646\u0642\u0637\u0629 \u062b\u0627\u0646\u064a\u0629: \u0645\u0646 <code class=\"kbd\">(0,-3)<\/code> \u0627\u0646\u062a\u0642\u0644 \u0625\u0644\u0649 <code class=\"kbd\">(1,-1)<\/code>.<\/li>\n <\/ul>\n <div class=\"tips\">\u0627\u0644\u0645\u062c\u0627\u0644: \u062c\u0645\u064a\u0639 \u0627\u0644\u0623\u0639\u062f\u0627\u062f \u0627\u0644\u062d\u0642\u064a\u0642\u064a\u0629. \u0627\u0644\u0645\u062f\u0649: \u062c\u0645\u064a\u0639 \u0627\u0644\u0623\u0639\u062f\u0627\u062f \u0627\u0644\u062d\u0642\u064a\u0642\u064a\u0629.<\/div>\n <\/div>\n <\/div>\n\n <h3>\u0645\u062b\u0627\u0644 \u0645\u062d\u0644\u0648\u0644 2 (\u0625\u064a\u062c\u0627\u062f \u0627\u0644\u0645\u0639\u0627\u062f\u0644\u0629 \u0645\u0646 \u0646\u0642\u0637\u062a\u064a\u0646)<\/h3>\n <p>\u0623\u0648\u062c\u062f \u0645\u0639\u0627\u062f\u0644\u0629 \u0627\u0644\u062e\u0637 \u0627\u0644\u0645\u0627\u0631 \u0628\u0627\u0644\u0646\u0642\u0637\u062a\u064a\u0646 <code class=\"kbd\">A(\u22121, 2)<\/code> \u0648 <code class=\"kbd\">B(3, 6)<\/code>.<\/p>\n <ol>\n <li>\u0627\u0644\u0645\u064a\u0644: <code class=\"kbd\">m = (6 - 2) \/ (3 - (-1)) = 4\/4 = 1<\/code>.<\/li>\n <li>\u0627\u0644\u0645\u0639\u0627\u062f\u0644\u0629: <code class=\"kbd\">y = x + b<\/code>. \u0639\u0648\u0651\u0636 \u0628\u0640 <code class=\"kbd\">A<\/code>: <code class=\"kbd\">2 = (\u22121) + b \u27f9 b = 3<\/code>.<\/li>\n <li><strong>\u0627\u0644\u0646\u062a\u064a\u062c\u0629:<\/strong> <code class=\"kbd\">y = x + 3<\/code>.<\/li>\n <\/ol>\n\n <h3>\u062c\u062f\u0648\u0644 \u0642\u064a\u0645 \u0633\u0631\u064a\u0639<\/h3>\n <table>\n <thead><tr><th>x<\/th><th>y = 2x \u2212 3<\/th><th>x<\/th><th>y = x + 3<\/th><\/tr><\/thead>\n <tbody>\n <tr><td>\u22121<\/td><td>\u22125<\/td><td>0<\/td><td>3<\/td><\/tr>\n <tr><td>0<\/td><td>\u22123<\/td><td>1<\/td><td>4<\/td><\/tr>\n <tr><td>1<\/td><td>\u22121<\/td><td>2<\/td><td>5<\/td><\/tr>\n <\/tbody>\n <\/table>\n <\/section>\n\n <section id=\"quadratic\">\n <h2>\ud83d\udff0 \u0627\u0644\u062f\u0627\u0644\u0629 \u0627\u0644\u062a\u0631\u0628\u064a\u0639\u064a\u0629: \u0627\u0644\u0631\u0623\u0633 \u0648\u0645\u062d\u0648\u0631 \u0627\u0644\u062a\u0645\u0627\u062b\u0644 \u0648\u0635\u064a\u063a \u0627\u0644\u062a\u0645\u062b\u064a\u0644<\/h2>\n <p>\u0635\u064a\u063a\u062a\u0647\u0627 \u0627\u0644\u0639\u0627\u0645\u0629: <code class=\"kbd\">y = ax\u00b2 + bx + c<\/code> \u062d\u064a\u062b <code class=\"kbd\">a \u2260 0<\/code>. \u0625\u0630\u0627 <code class=\"kbd\">a > 0<\/code> \u064a\u0643\u0648\u0646 <strong>\u0627\u0644\u0642\u0637\u0639 \u0627\u0644\u0645\u0643\u0627\u0641\u0626<\/strong> \u0645\u0641\u062a\u0648\u062d\u064b\u0627 \u0644\u0623\u0639\u0644\u0649\u060c \u0648\u0625\u0630\u0627 <code class=\"kbd\">a < 0<\/code> \u0645\u0641\u062a\u0648\u062d \u0644\u0623\u0633\u0641\u0644.<\/p>\n <div class=\"grid g2\">\n <div>\n <h3>\u062e\u0635\u0627\u0626\u0635 \u0623\u0633\u0627\u0633\u064a\u0629<\/h3>\n <ul>\n <li><strong>\u0627\u0644\u0631\u0623\u0633:<\/strong> \u0646\u0642\u0637\u0629 \u0627\u0644\u0639\u0638\u0645\u0649\/\u0627\u0644\u0635\u063a\u0631\u0649.<\/li>\n <li><strong>\u0645\u062d\u0648\u0631 \u0627\u0644\u062a\u0645\u0627\u062b\u0644:<\/strong> \u062e\u0637 \u0639\u0645\u0648\u062f\u064a \u064a\u0645\u0631 \u0628\u0627\u0644\u0631\u0623\u0633.<\/li>\n <li><strong>\u0646\u0642\u0627\u0637 \u0627\u0644\u062a\u0642\u0627\u0637\u0639:<\/strong> \u0645\u0639 \u0627\u0644\u0645\u062d\u0648\u0631\u064a\u0646 x \u0648 y.<\/li>\n <\/ul>\n <p>\u064a\u0645\u0643\u0646 \u0643\u062a\u0627\u0628\u062a\u0647\u0627 \u0628\u0635\u064a\u063a\u0629 \u0627\u0644\u0631\u0623\u0633: <code class=\"kbd\">y = a(x \u2212 h)\u00b2 + k<\/code> \u062d\u064a\u062b <code class=\"kbd\">(h, k)<\/code> \u0647\u0648 \u0627\u0644\u0631\u0623\u0633.<\/p>\n <\/div>\n <div>\n <h3>\u0645\u062b\u0627\u0644 \u0645\u062d\u0644\u0648\u0644 3 (\u0625\u0643\u0645\u0627\u0644 \u0627\u0644\u0645\u0631\u0628\u0639)<\/h3>\n <p>\u062d\u0644\u0651\u0644 <code class=\"kbd\">y = x\u00b2 \u2212 4x + 1<\/code> \u0625\u0644\u0649 \u0635\u064a\u063a\u0629 \u0627\u0644\u0631\u0623\u0633.<\/p>\n <ol>\n <li>\u062e\u0630 \u0627\u0644\u0646\u0635\u0641 \u0645\u0646 <code class=\"kbd\">\u22124<\/code> \u062b\u0645 \u0645\u0631\u0628\u0651\u0639\u0647: <code class=\"kbd\">(\u22122)\u00b2 = 4<\/code>.<\/li>\n <li>\u0623\u0636\u0641 \u0648\u0627\u0637\u0631\u062d 4: <code class=\"kbd\">y = (x\u00b2 \u2212 4x + 4) \u2212 3 = (x \u2212 2)\u00b2 \u2212 3<\/code>.<\/li>\n <li><strong>\u0627\u0644\u0631\u0623\u0633:<\/strong> <code class=\"kbd\">(2, \u22123)<\/code>. \u0645\u062d\u0648\u0631 \u0627\u0644\u062a\u0645\u0627\u062b\u0644: <code class=\"kbd\">x = 2<\/code>.<\/li>\n <\/ol>\n <\/div>\n <\/div>\n\n <h3>\u0645\u062b\u0627\u0644 \u0645\u062d\u0644\u0648\u0644 4 (\u0627\u0644\u0645\u0645\u064a\u0632 \u0648\u0627\u0644\u062a\u0642\u0627\u0637\u0639\u0627\u062a)<\/h3>\n <p>\u0644\u0644\u062f\u0627\u0644\u0629 <code class=\"kbd\">y = \u2212x\u00b2 + 2x + 3<\/code>:\n <ul>\n <li><strong>\u0627\u0644\u0645\u0645\u064a\u0632:<\/strong> <code class=\"kbd\">\u0394 = b\u00b2 \u2212 4ac = 4 \u2212 4(\u22121)(3) = 16<\/code> \u21d2 \u062c\u0630\u0631\u0627\u0646 \u062d\u0642\u064a\u0642\u064a\u0627\u0646.<\/li>\n <li><strong>\u0627\u0644\u062a\u0642\u0627\u0637\u0639\u0627\u062a \u0645\u0639 x:<\/strong> \u062d\u0644 <code class=\"kbd\">\u2212x\u00b2 + 2x + 3 = 0<\/code> \u21d2 <code class=\"kbd\">x = \u22121<\/code> \u0623\u0648 <code class=\"kbd\">x = 3<\/code>.<\/li>\n <li><strong>\u0627\u0644\u062a\u0642\u0627\u0637\u0639 \u0645\u0639 y:<\/strong> \u0639\u0646\u062f <code class=\"kbd\">x = 0<\/code> \u0646\u062d\u0635\u0644 \u0639\u0644\u0649 <code class=\"kbd\">y = 3<\/code>.<\/li>\n <li><strong>\u0627\u0644\u0631\u0623\u0633:<\/strong> <code class=\"kbd\">x_v = \u2212b\/(2a) = \u22122\/(\u22122) = 1<\/code> \u062b\u0645 <code class=\"kbd\">y_v = \u22121 + 2 + 3 = 4<\/code> \u21d2 <code class=\"kbd\">(1, 4)<\/code>.<\/li>\n <\/ul>\n <\/p>\n <\/section>\n\n <section id=\"exponential\">\n <h2>\ud83d\udcca \u0644\u0645\u062d\u0629 \u0633\u0631\u064a\u0639\u0629: \u0627\u0644\u062f\u0627\u0644\u0629 \u0627\u0644\u0623\u0633\u064a\u0629<\/h2>\n <p>\u0627\u0644\u062f\u0627\u0644\u0629 \u0627\u0644\u0623\u0633\u064a\u0629 \u0639\u0644\u0649 \u0627\u0644\u0635\u0648\u0631\u0629 <code class=\"kbd\">y = a\u00b7b^x<\/code> \u0645\u0639 <code class=\"kbd\">a \u2260 0<\/code> \u0648 <code class=\"kbd\">b > 0<\/code> \u0648 <code class=\"kbd\">b \u2260 1<\/code>.\n \u0625\u0630\u0627 <code class=\"kbd\">b > 1<\/code> \u0641\u0647\u0646\u0627\u0643 <strong>\u0646\u0645\u0648<\/strong>\u060c \u0648\u0625\u0630\u0627 <code class=\"kbd\">0 < b < 1<\/code> \u0641\u0647\u0646\u0627\u0643 <strong>\u0627\u0636\u0645\u062d\u0644\u0627\u0644<\/strong>.<\/p>\n <div class=\"note\">\u064a\u0645\u0631 \u0627\u0644\u0631\u0633\u0645 \u0639\u0627\u062f\u0629 \u0628\u0627\u0644\u0646\u0642\u0637\u0629 <code class=\"kbd\">(0, a)<\/code> \u0648\u0644\u0647 \u0627\u0642\u062a\u0631\u0627\u0628 \u0623\u0641\u0642\u064a \u0645\u0646 \u0627\u0644\u0645\u062d\u0648\u0631 <code class=\"kbd\">x<\/code>.<\/div>\n <h3>\u0645\u062b\u0627\u0644 \u0645\u062e\u062a\u0635\u0631<\/h3>\n <p><code class=\"kbd\">y = 100\u00b7(1.05)^x<\/code> \u064a\u0635\u0641 \u0631\u0635\u064a\u062f\u064b\u0627 \u064a\u0646\u0645\u0648 \u0628\u0646\u0633\u0628\u0629 5% \u0644\u0643\u0644 \u0641\u062a\u0631\u0629.<\/p>\n <\/section>\n\n <section id=\"transform\">\n <h2>\ud83d\udd01 \u0627\u0644\u062a\u062d\u0648\u064a\u0644\u0627\u062a \u0639\u0644\u0649 \u0627\u0644\u0631\u0633\u0648\u0645<\/h2>\n <table>\n <thead><tr><th>\u0627\u0644\u062a\u062d\u0648\u064a\u0644<\/th><th>\u0627\u0644\u062a\u0623\u062b\u064a\u0631 \u0639\u0644\u0649 \u0627\u0644\u062f\u0627\u0644\u0629<\/th><th>\u0627\u0644\u0648\u0635\u0641<\/th><\/tr><\/thead>\n <tbody>\n <tr><td>\u0625\u0632\u0627\u062d\u0629 \u0644\u0623\u0639\u0644\u0649\/\u0623\u0633\u0641\u0644<\/td><td><code class=\"kbd\">y = f(x) + k<\/code><\/td><td>\u0644\u0623\u0639\u0644\u0649 \u0625\u0630\u0627 <code class=\"kbd\">k>0<\/code>\u060c \u0644\u0623\u0633\u0641\u0644 \u0625\u0630\u0627 <code class=\"kbd\">k<0<\/code><\/td><\/tr>\n <tr><td>\u0625\u0632\u0627\u062d\u0629 \u064a\u0645\u064a\u0646\/\u064a\u0633\u0627\u0631<\/td><td><code class=\"kbd\">y = f(x \u2212 h)<\/code><\/td><td>\u064a\u0645\u064a\u0646 \u0625\u0630\u0627 <code class=\"kbd\">h>0<\/code>\u060c \u064a\u0633\u0627\u0631 \u0625\u0630\u0627 <code class=\"kbd\">h<0<\/code><\/td><\/tr>\n <tr><td>\u0627\u0646\u0639\u0643\u0627\u0633 \u062d\u0648\u0644 x<\/td><td><code class=\"kbd\">y = \u2212f(x)<\/code><\/td><td>\u064a\u0639\u0643\u0633 \u0627\u0644\u0631\u0633\u0645 \u0631\u0623\u0633\u064a\u064b\u0627<\/td><\/tr>\n <tr><td>\u0627\u0646\u0639\u0643\u0627\u0633 \u062d\u0648\u0644 y<\/td><td><code class=\"kbd\">y = f(\u2212x)<\/code><\/td><td>\u064a\u0639\u0643\u0633 \u0627\u0644\u0631\u0633\u0645 \u0623\u0641\u0642\u064a\u064b\u0627<\/td><\/tr>\n <tr><td>\u062a\u0645\u062f\u062f\/\u0636\u063a\u0637 \u0631\u0623\u0633\u064a<\/td><td><code class=\"kbd\">y = a\u00b7f(x)<\/code><\/td><td>\u062a\u0645\u062f\u062f \u0625\u0630\u0627 <code class=\"kbd\">|a|>1<\/code>\u060c \u0636\u063a\u0637 \u0625\u0630\u0627 <code class=\"kbd\">0<|a|<1<\/code><\/td><\/tr>\n <tr><td>\u062a\u0645\u062f\u062f\/\u0636\u063a\u0637 \u0623\u0641\u0642\u064a<\/td><td><code class=\"kbd\">y = f(bx)<\/code><\/td><td>\u0636\u063a\u0637 \u0623\u0641\u0642\u064a \u0625\u0630\u0627 <code class=\"kbd\">|b|>1<\/code>\u060c \u062a\u0645\u062f\u062f \u0625\u0630\u0627 <code class=\"kbd\">0<|b|<1<\/code><\/td><\/tr>\n <\/tbody>\n <\/table>\n\n <h3>\u0645\u062b\u0627\u0644 \u0645\u062d\u0644\u0648\u0644 5 (\u062a\u062d\u0648\u064a\u0644\u0627\u062a \u0639\u0644\u0649 \u062a\u0631\u0628\u064a\u0639\u064a\u0629)<\/h3>\n <p>\u062d\u0648\u0651\u0644 <code class=\"kbd\">y = (x \u2212 2)\u00b2 \u2212 3<\/code> \u0627\u0646\u0637\u0644\u0627\u0642\u064b\u0627 \u0645\u0646 <code class=\"kbd\">y = x\u00b2<\/code>:\n <ul>\n <li>\u0625\u0632\u0627\u062d\u0629 2 \u064a\u0645\u064a\u0646\u064b\u0627.<\/li>\n <li>\u0625\u0632\u0627\u062d\u0629 3 \u0648\u062d\u062f\u0627\u062a \u0644\u0623\u0633\u0641\u0644.<\/li>\n <\/ul>\n <\/p>\n <\/section>\n\n <section id=\"read-graph\">\n <h2>\ud83d\udd0e \u0642\u0631\u0627\u0621\u0629 \u0627\u0644\u0631\u0633\u0645<\/h2>\n <ul>\n <li><strong>\u0646\u0642\u0627\u0637 \u0627\u0644\u062a\u0642\u0627\u0637\u0639 \u0645\u0639 x:<\/strong> \u062d\u0644\u0648\u0644 <code class=\"kbd\">f(x) = 0<\/code>.<\/li>\n <li><strong>\u0627\u0644\u062a\u0642\u0627\u0637\u0639 \u0645\u0639 y:<\/strong> \u0642\u064a\u0645\u0629 <code class=\"kbd\">f(0)<\/code>.<\/li>\n <li><strong>\u0627\u0644\u0632\u064a\u0627\u062f\u0629\/\u0627\u0644\u0646\u0642\u0635\u0627\u0646:<\/strong> \u0623\u064a\u0646 \u064a\u0631\u062a\u0641\u0639\/\u064a\u0646\u062e\u0641\u0636 \u0627\u0644\u0631\u0633\u0645 \u0628\u0632\u064a\u0627\u062f\u0629 <code class=\"kbd\">x<\/code>.<\/li>\n <li><strong>\u0642\u064a\u0645 \u0639\u0638\u0645\u0649\/\u0635\u063a\u0631\u0649:<\/strong> \u0642\u0645\u0651\u0629\/\u0642\u0627\u0639 \u0627\u0644\u0631\u0633\u0645 (\u0645\u062d\u0644\u064a\u0629 \u0623\u0648 \u0645\u0637\u0644\u0642\u0629).<\/li>\n <\/ul>\n <div class=\"warn\">\u0627\u0646\u062a\u0628\u0640\u0647: \u0642\u0631\u0627\u0621\u0629 \u0627\u0644\u0632\u064a\u0627\u062f\u0629\/\u0627\u0644\u0646\u0642\u0635\u0627\u0646 \u062a\u062a\u0645 \u0645\u0646 <em>\u064a\u0633\u0627\u0631 \u0644\u064a\u0645\u064a\u0646<\/em> \u0639\u0644\u0649 \u0627\u0644\u0645\u062d\u0648\u0631 \u0627\u0644\u0623\u0641\u0642\u064a.<\/div>\n <\/section>\n\n <section id=\"models\">\n <h2>\ud83e\udde9 \u0645\u0633\u0627\u0626\u0644 \u0644\u0641\u0638\u064a\u0629 \u0645\u062e\u062a\u0635\u0631\u0629<\/h2>\n <h3>\u0645\u062b\u0627\u0644 6 (\u062e\u0637\u064a)<\/h3>\n <p>\u062a\u0643\u0644\u0641\u0629 \u0631\u0643\u0648\u0628 \u0633\u064a\u0627\u0631\u0629 \u0623\u062c\u0631\u0629: \u0641\u062a\u062d \u0627\u0644\u0639\u062f\u0627\u062f 1.5 \u0631\u064a\u0627\u0644 + 0.4 \u0631\u064a\u0627\u0644 \u0644\u0643\u0644 \u0643\u064a\u0644\u0648\u0645\u062a\u0631. \u0645\u062b\u0651\u0644 \u0627\u0644\u062a\u0643\u0644\u0641\u0629 <code class=\"kbd\">C(x) = 1.5 + 0.4x<\/code>.\n \u0639\u0646\u062f 10 \u0643\u0645: <code class=\"kbd\">C(10) = 1.5 + 4 = 5.5<\/code>.<\/p>\n\n <h3>\u0645\u062b\u0627\u0644 7 (\u062a\u0631\u0628\u064a\u0639\u064a)<\/h3>\n <p>\u064a\u0631\u062a\u0641\u0639 \u062c\u0633\u0645 \u0628\u0633\u0631\u0639\u0629 \u0627\u0628\u062a\u062f\u0627\u0626\u064a\u0629 \u0641\u064a \u0627\u0644\u0641\u0631\u0627\u063a \u0627\u0644\u0631\u0623\u0633\u064a \u0648\u0641\u0642 <code class=\"kbd\">h(t) = \u22125t\u00b2 + 20t + 3<\/code> (\u0645\u062a\u0631). \u0623\u0642\u0635\u0649 \u0627\u0631\u062a\u0641\u0627\u0639 \u0639\u0646\u062f \u0627\u0644\u0631\u0623\u0633:\n <code class=\"kbd\">t_v = \u2212b\/(2a) = \u221220\/(\u221210) = 2<\/code> \u062b\u0645 <code class=\"kbd\">h(2) = \u221220 + 40 + 3 = 23<\/code> \u0645\u062a\u0631.<\/p>\n <\/section>\n\n <section id=\"practice\">\n <h2>\ud83d\udcdd \u062a\u0645\u0627\u0631\u064a\u0646 \u062a\u062f\u0631\u064a\u0628\u064a\u0629 (20 \u0633\u0624\u0627\u0644)<\/h2>\n <ol>\n <li>\u0623\u0648\u062c\u062f \u0645\u064a\u0644 \u0627\u0644\u062e\u0637 \u0627\u0644\u0648\u0627\u0635\u0644 \u0628\u064a\u0646 <code class=\"kbd\">A(1,\u22123)<\/code> \u0648 <code class=\"kbd\">B(5,5)<\/code>.<\/li>\n <li>\u0627\u0643\u062a\u0628 \u0645\u0639\u0627\u062f\u0644\u0629 \u0627\u0644\u062e\u0637 \u0627\u0644\u0645\u0627\u0631 \u0628\u0640 <code class=\"kbd\">(0,2)<\/code> \u0648\u0645\u064a\u0644\u0647 <code class=\"kbd\">\u22121\/2<\/code>.<\/li>\n <li>\u0647\u0644 \u0627\u0644\u0639\u0644\u0627\u0642\u0629 \u0627\u0644\u0645\u0645\u062b\u0644\u0629 \u0628\u0631\u0633\u0645 \u064a\u0645\u0631 \u0628\u0627\u0644\u0646\u0642\u0627\u0637 <code class=\"kbd\">(\u22121,1),(0,1),(1,1)<\/code> \u062f\u0627\u0644\u0629\u061f \u0648\u0644\u0645\u0627\u0630\u0627\u061f<\/li>\n <li>\u062d\u0648\u0651\u0644 <code class=\"kbd\">y = x\u00b2 + 6x + 5<\/code> \u0625\u0644\u0649 \u0635\u064a\u063a\u0629 \u0627\u0644\u0631\u0623\u0633.<\/li>\n <li>\u0623\u0648\u062c\u062f \u062c\u0630\u0631\u064a \u0627\u0644\u0645\u0639\u0627\u062f\u0644\u0629 <code class=\"kbd\">x\u00b2 \u2212 5x + 6 = 0<\/code>.<\/li>\n <li>\u0627\u062d\u0633\u0628 <code class=\"kbd\">f(3)<\/code> \u0625\u0630\u0627 \u0643\u0627\u0646\u062a <code class=\"kbd\">f(x) = 2x \u2212 7<\/code>.<\/li>\n <li>\u0627\u0631\u0633\u0645 \u0628\u0633\u0631\u0639\u0629 \u062e\u0637 <code class=\"kbd\">y = \u22123x + 4<\/code> \u0628\u0630\u0643\u0631 \u0646\u0642\u0637\u062a\u064a\u0646 \u0639\u0644\u0649 \u0627\u0644\u0623\u0642\u0644.<\/li>\n <li>\u0644\u0644\u062f\u0627\u0644\u0629 <code class=\"kbd\">y = \u2212x\u00b2 + 4x \u2212 1<\/code> \u0623\u0648\u062c\u062f \u0627\u0644\u0631\u0623\u0633 \u0648\u0645\u062d\u0648\u0631 \u0627\u0644\u062a\u0645\u0627\u062b\u0644.<\/li>\n <li>\u0628\u064a\u0651\u0646 \u0623\u062b\u0631 \u062a\u062d\u0648\u064a\u0644 <code class=\"kbd\">y = (x + 1)\u00b2<\/code> \u0645\u0642\u0627\u0631\u0646\u0629 \u0628\u0640 <code class=\"kbd\">y = x\u00b2<\/code>.<\/li>\n <li>\u062c\u062f\u0648\u0644 \u0642\u064a\u0645 \u0644\u0640 <code class=\"kbd\">y = 0.5x + 1<\/code> \u0639\u0646\u062f <code class=\"kbd\">x = \u22122,0,2<\/code>.<\/li>\n <li>\u0625\u0630\u0627 \u0643\u0627\u0646 <code class=\"kbd\">g(x) = 3(x \u2212 2)\u00b2 + 5<\/code> \u0641\u0623\u064a\u0646 \u064a\u0642\u0639 \u0627\u0644\u0631\u0623\u0633\u061f \u0648\u0647\u0644 \u0627\u0644\u0641\u062a\u062d\u0629 \u0644\u0623\u0639\u0644\u0649 \u0623\u0645 \u0644\u0623\u0633\u0641\u0644\u061f<\/li>\n <li>\u062d\u0644 <code class=\"kbd\">2x \u2212 5 = 9<\/code> \u062b\u0645 \u0623\u0639\u0637 \u0646\u0642\u0637\u0629 \u0639\u0644\u0649 \u0627\u0644\u062e\u0637 <code class=\"kbd\">y = 2x \u2212 5<\/code>.<\/li>\n <li>\u0623\u0648\u062c\u062f \u0646\u0642\u0637\u0629 \u0627\u0644\u062a\u0642\u0627\u0637\u0639 \u0645\u0639 \u0645\u062d\u0648\u0631 <code class=\"kbd\">y<\/code> \u0641\u064a <code class=\"kbd\">y = 4x \u2212 9<\/code>.<\/li>\n <li>\u0647\u0644 \u0627\u0644\u062f\u0627\u0644\u0629 <code class=\"kbd\">y = |x|<\/code> \u062e\u0637\u064a\u0629\u061f \u0641\u0633\u0651\u0631.<\/li>\n <li>\u0644\u0645\u062d\u0629: \u0625\u0630\u0627 <code class=\"kbd\">P(t) = 200(0.9)^t<\/code>\u060c \u0647\u0644 \u0647\u0646\u0627\u0643 \u0646\u0645\u0648 \u0623\u0645 \u0627\u0636\u0645\u062d\u0644\u0627\u0644\u061f<\/li>\n <li>\u0627\u062d\u0633\u0628 \u0642\u064a\u0645\u0629 <code class=\"kbd\">\u0394<\/code> \u0644\u0640 <code class=\"kbd\">x\u00b2 \u2212 4x + 4 = 0<\/code> \u0648\u0641\u0633\u0651\u0631 \u0639\u062f\u062f \u0627\u0644\u062c\u0630\u0648\u0631.<\/li>\n <li>\u062d\u0648\u0651\u0644 <code class=\"kbd\">y = \u22122(x \u2212 3)\u00b2 + 1<\/code> \u0625\u0644\u0649 \u0627\u0644\u0635\u064a\u063a\u0629 \u0627\u0644\u0639\u0627\u0645\u0629.<\/li>\n <li>\u0623\u064a\u0646 \u064a\u0642\u0637\u0639 <code class=\"kbd\">y = x + 1<\/code> \u0627\u0644\u0645\u062d\u0648\u0631 <code class=\"kbd\">x<\/code>\u061f<\/li>\n <li>\u0628\u064a\u0651\u0646 \u0641\u062a\u0631\u0627\u062a \u0627\u0644\u0632\u064a\u0627\u062f\u0629\/\u0627\u0644\u0646\u0642\u0635\u0627\u0646 \u0644\u0644\u062a\u0631\u0628\u064a\u0639\u064a\u0629 <code class=\"kbd\">y = (x \u2212 1)\u00b2 \u2212 4<\/code>.<\/li>\n <li>\u0633\u0624\u0627\u0644 \u0644\u0641\u0638\u064a: \u064a\u0628\u064a\u0639 \u0645\u062a\u062c\u0631 \u0627\u0634\u062a\u0631\u0627\u0643\u064b\u0627 \u0645\u0642\u0627\u0628\u0644 5 \u0631\u064a\u0627\u0644\u0627\u062a \u0623\u0633\u0627\u0633\u064a + 1.5 \u0631\u064a\u0627\u0644 \u0644\u0643\u0644 \u0633\u0627\u0639\u0629 \u0627\u0633\u062a\u062e\u062f\u0627\u0645. \u0627\u0643\u062a\u0628 \u0646\u0645\u0648\u0630\u062c \u0627\u0644\u062a\u0643\u0644\u0641\u0629.<\/li>\n <\/ol>\n\n <details>\n <summary>\u0625\u062c\u0627\u0628\u0627\u062a \u0645\u062e\u062a\u0635\u0631\u0629<\/summary>\n <ol>\n <li><code class=\"kbd\">m = (5 \u2212 (\u22123))\/(5 \u2212 1) = 8\/4 = 2<\/code>.<\/li>\n <li><code class=\"kbd\">y = \u2212(1\/2)x + 2<\/code>.<\/li>\n <li>\u0646\u0639\u0645\u060c \u0644\u0623\u0646 \u0644\u0643\u0644 <code class=\"kbd\">x<\/code> \u0642\u064a\u0645\u0629 <code class=\"kbd\">y<\/code> \u0648\u0627\u062d\u062f\u0629 (\u062c\u0645\u064a\u0639\u0647\u0627 1).<\/li>\n <li><code class=\"kbd\">y = (x + 3)\u00b2 \u2212 4<\/code>.<\/li>\n <li><code class=\"kbd\">x = 2<\/code> \u0648 <code class=\"kbd\">x = 3<\/code>.<\/li>\n <li><code class=\"kbd\">f(3) = 6 \u2212 7 = \u22121<\/code>.<\/li>\n <li>\u0645\u062b\u0644\u0627\u064b <code class=\"kbd\">(0,4)<\/code> \u0648 <code class=\"kbd\">(1,1)<\/code>.<\/li>\n <li><code class=\"kbd\">x_v = \u2212b\/(2a) = \u22124\/(\u22122) = 2<\/code> \u062b\u0645 <code class=\"kbd\">y_v = \u22124 + 8 \u2212 1 = 3<\/code> \u21d2 <code class=\"kbd\">(2,3)<\/code>.<\/li>\n <li>\u0625\u0632\u0627\u062d\u0629 1 \u0648\u062d\u062f\u0629 \u064a\u0633\u0627\u0631\u064b\u0627.<\/li>\n <li><code class=\"kbd\">y(\u22122)=0, y(0)=1, y(2)=2<\/code>.<\/li>\n <li>\u0627\u0644\u0631\u0623\u0633 <code class=\"kbd\">(2,5)<\/code> \u0648\u0627\u0644\u0641\u062a\u062d\u0629 \u0644\u0623\u0639\u0644\u0649 (<code class=\"kbd\">a=3>0<\/code>).<\/li>\n <li><code class=\"kbd\">x = 7<\/code> \u21d2 \u0646\u0642\u0637\u0629 \u0645\u062b\u0644 <code class=\"kbd\">(7,9)<\/code>.<\/li>\n <li>\u0639\u0646\u062f <code class=\"kbd\">x=0<\/code> \u21d2 <code class=\"kbd\">y = \u22129<\/code>.<\/li>\n <li>\u0644\u0627\u060c \u0645\u0637\u0644\u0642\u0629 \u0627\u0644\u0642\u064a\u0645\u0629 \u0644\u064a\u0633\u062a \u062e\u0637\u064b\u0627 \u0645\u0633\u062a\u0642\u064a\u0645\u064b\u0627.<\/li>\n <li>\u0627\u0636\u0645\u062d\u0644\u0627\u0644 \u0644\u0623\u0646 <code class=\"kbd\">0.9 < 1<\/code>.<\/li>\n <li><code class=\"kbd\">\u0394 = 0<\/code> \u21d2 \u062c\u0630\u0631 \u0645\u0643\u0631\u0631 \u0648\u0627\u062d\u062f.<\/li>\n <li><code class=\"kbd\">y = \u22122(x\u00b2 \u2212 6x + 9) + 1 = \u22122x\u00b2 + 12x \u2212 18 + 1 = \u22122x\u00b2 + 12x \u2212 17<\/code>.<\/li>\n <li>\u062d\u0644 <code class=\"kbd\">x + 1 = 0<\/code> \u21d2 <code class=\"kbd\">x = \u22121<\/code>.<\/li>\n <li>\u062a\u0632\u062f\u0627\u062f \u0644\u0640 <code class=\"kbd\">x > 1<\/code> \u0648\u062a\u0646\u0642\u0635 \u0644\u0640 <code class=\"kbd\">x < 1<\/code>.<\/li>\n <li><code class=\"kbd\">C(h) = 5 + 1.5h<\/code>.<\/li>\n <\/ol>\n <\/details>\n <\/section>\n\n <section id=\"mistakes\">\n <h2>\u26a0\ufe0f \u0623\u062e\u0637\u0627\u0621 \u0634\u0627\u0626\u0639\u0629 \u0648\u0643\u064a\u0641 \u062a\u062a\u062c\u0646\u0628\u0647\u0627<\/h2>\n <ul>\n <li>\u0627\u0644\u062e\u0644\u0637 \u0628\u064a\u0646 <code class=\"kbd\">y = f(x) + k<\/code> \u0648 <code class=\"kbd\">y = f(x + k)<\/code> (\u0627\u0644\u0623\u0648\u0644\u0649 \u0625\u0632\u0627\u062d\u0629 \u0639\u0645\u0648\u062f\u064a\u0629\u060c \u0627\u0644\u062b\u0627\u0646\u064a\u0629 \u0623\u0641\u0642\u064a\u0629 \u0639\u0643\u0633 \u0627\u0644\u0625\u0634\u0627\u0631\u0629).<\/li>\n <li>\u0646\u0633\u064a\u0627\u0646 \u0623\u0646 \u0645\u062d\u0648\u0631 \u0627\u0644\u062a\u0645\u0627\u062b\u0644 \u0644\u0644\u062a\u0631\u0628\u064a\u0639\u064a\u0629 \u0641\u064a \u0627\u0644\u0635\u064a\u063a\u0629 \u0627\u0644\u0639\u0627\u0645\u0629 \u0647\u0648 <code class=\"kbd\">x = \u2212b\/(2a)<\/code>.<\/li>\n <li>\u062d\u0633\u0627\u0628 \u0627\u0644\u0645\u064a\u0644 \u0628\u062a\u0631\u062a\u064a\u0628 \u0646\u0642\u0627\u0637 \u062e\u0627\u0637\u0626. \u0627\u0646\u062a\u0628\u0647 \u0644\u0635\u064a\u063a\u0629 <code class=\"kbd\">(y2 \u2212 y1)\/(x2 \u2212 x1)<\/code>.<\/li>\n <li>\u0642\u0631\u0627\u0621\u0629 \u0627\u0644\u0632\u064a\u0627\u062f\u0629\/\u0627\u0644\u0646\u0642\u0635\u0627\u0646 \u0645\u0646 \u0627\u0644\u064a\u0645\u064a\u0646 \u0625\u0644\u0649 \u0627\u0644\u064a\u0633\u0627\u0631 \u0628\u062f\u0644\u0627\u064b \u0645\u0646 \u0627\u0644\u064a\u0633\u0627\u0631 \u0625\u0644\u0649 \u0627\u0644\u064a\u0645\u064a\u0646.<\/li>\n <\/ul>\n <\/section>\n\n <section id=\"study-tips\">\n <h2>\ud83d\udca1 \u062e\u0637\u0629 \u0645\u0630\u0627\u0643\u0631\u0629 \u0648\u0627\u0642\u062a\u0631\u0627\u062d\u0627\u062a<\/h2>\n <div class=\"grid g2\">\n <div class=\"tips\">\n <strong>\u0631\u0648\u062a\u064a\u0646 30 \u062f\u0642\u064a\u0642\u0629:<\/strong>\n <ol>\n <li>10 \u062f\u0642\u0627\u0626\u0642 \u0645\u0631\u0627\u062c\u0639\u0629 \u062e\u0635\u0627\u0626\u0635 \u0627\u0644\u062f\u0648\u0627\u0644.<\/li>\n <li>15 \u062f\u0642\u064a\u0642\u0629 \u062d\u0644 5 \u0645\u0633\u0627\u0626\u0644 \u0645\u062a\u0646\u0648\u0639\u0629 (\u062e\u0637\u064a\/\u062a\u0631\u0628\u064a\u0639\u064a).<\/li>\n <li>5 \u062f\u0642\u0627\u0626\u0642 \u0628\u0646\u0643 \u0627\u0644\u0623\u062e\u0637\u0627\u0621.<\/li>\n <\/ol>\n <\/div>\n <div class=\"note\">\n <strong>\u0623\u0648\u0631\u0627\u0642 \u0639\u0645\u0644:<\/strong> \u0627\u0635\u0646\u0639 \u0648\u0631\u0642\u0629 \u0645\u0646 1\u20132 \u0635\u0641\u062d\u0629 \u0641\u064a\u0647\u0627:\n <ul>\n <li>3 \u0645\u0633\u0627\u0626\u0644 \u0631\u0633\u0645 (\u0646\u0642\u0637\u0629 \u0648\u0645\u064a\u0644 \/ \u0631\u0623\u0633 \u0648\u0645\u062d\u0648\u0631).<\/li>\n <li>3 \u0645\u0633\u0627\u0626\u0644 \u0644\u0641\u0638\u064a\u0629 \u0645\u062e\u062a\u0635\u0631\u0629.<\/li>\n <li>\u0645\u0644\u062e\u0635 \u0642\u0648\u0627\u0646\u064a\u0646 \u0635\u063a\u064a\u0631.<\/li>\n <\/ul>\n <\/div>\n <\/div>\n <div class=\"cta\">\n \u062a\u0644\u0645\u064a\u062d \u0644\u0644\u0646\u0634\u0631 \u0641\u064a \u0648\u0648\u0631\u062f\u0628\u0631\u064a\u0633: \u0627\u062c\u0639\u0644 \u0647\u0630\u0627 \u0627\u0644\u0645\u0642\u0627\u0644 \u062d\u062c\u0631 \u0623\u0633\u0627\u0633\u060c \u062b\u0645 \u0627\u0631\u0628\u0637\u0647 \u0628\u0633\u0644\u0633\u0644\u0629 \u0645\u0642\u0627\u0644\u0627\u062a \u0623\u062e\u0631\u0649 \u0645\u062b\u0644 <span class=\"tag\">\u0627\u0644\u0627\u062d\u062a\u0645\u0627\u0644\u0627\u062a<\/span>\u060c <span class=\"tag\">\u0627\u0644\u0625\u062d\u0635\u0627\u0621<\/span>\u060c <span class=\"tag\">\u0627\u0644\u0647\u0646\u062f\u0633\u0629 \u0627\u0644\u062a\u062d\u0644\u064a\u0644\u064a\u0629<\/span>.\n <\/div>\n <\/section>\n\n <p class=\"foot\">\u00a9 \u0645\u062d\u062a\u0648\u0649 \u062a\u0639\u0644\u064a\u0645\u064a \u0645\u064f\u0639\u062f\u0651 \u0628\u0639\u0646\u0627\u064a\u0629 \u2014 \u0645\u0646\u0627\u0633\u0628 \u0644\u0644\u0646\u0634\u0631 \u0643\u0640 HTML \u0645\u0628\u0627\u0634\u0631\u0629. \u064a\u0645\u0643\u0646\u0643 \u062a\u0639\u062f\u064a\u0644 \u0627\u0644\u0623\u0644\u0648\u0627\u0646 \u0639\u0628\u0631 \u0627\u0644\u0645\u062a\u063a\u064a\u0651\u0631 <code class=\"kbd\">--brand<\/code> \u0625\u0644\u0649 \u0623\u064a \u0642\u064a\u0645\u0629 \u0623\u062e\u0631\u0649.<\/p>\n<\/article>\n<\/body>\n<\/html>\n\n\n\n\n<p><\/p>\n","protected":false},"excerpt":{"rendered":"<p>\u0631\u064a\u0627\u0636\u064a\u0627\u062a \u0627\u0644\u0635\u0641 \u0627\u0644\u0639\u0627\u0634\u0631: \u0627\u0644\u062f\u0648\u0627\u0644 \u0648\u0627\u0644\u062a\u0645\u062b\u064a\u0644 \u0627\u0644\u0628\u064a\u0627\u0646\u064a (\u0634\u0631\u062d + \u0623\u0645\u062b\u0644\u0629 + \u062a\u062f\u0631\u064a\u0628\u0627\u062a) \ud83d\udcd8 \u0631\u064a\u0627\u0636\u064a\u0627\u062a \u0627\u0644\u0635\u0641 \u0627\u0644\u0639\u0627\u0634\u0631: \u0627\u0644\u062f\u0648\u0627\u0644 \u0648\u0627\u0644\u062a\u0645\u062b\u064a\u0644 \u0627\u0644\u0628\u064a\u0627\u0646\u064a \u0634\u0631\u062d + \u0623\u0645\u062b\u0644\u0629 + \u062a\u062f\u0631\u064a\u0628\u0627\u062a \u0647\u0630\u0627 \u0627\u0644\u062f\u0631\u0633 \u0627\u0644\u0634\u0627\u0645\u0644 \u064a\u0636\u0639\u0643 \u0639\u0644\u0649 \u0627\u0644\u0637\u0631\u064a\u0642 \u0627\u0644\u0635\u062d\u064a\u062d \u0644\u0641\u0647\u0645 \u0627\u0644\u062f\u0648\u0627\u0644 \u0628\u0623\u0646\u0648\u0627\u0639\u0647\u0627 (\u0627\u0644\u062e\u0637\u064a\u0629 \u0648\u0627\u0644\u062a\u0631\u0628\u064a\u0639\u064a\u0629 \u0648\u0644\u0645\u062d\u0629 \u0639\u0646 \u0627\u0644\u0623\u0633\u064a\u0629) \u0648\u0643\u064a\u0641\u064a\u0629 \u062a\u0645\u062b\u064a\u0644\u0647\u0627 \u0648\u0642\u0631\u0627\u0621\u0629 \u062e\u0635\u0627\u0626\u0635\u0647\u0627 \u0645\u0646 \u0627\u0644\u0631\u0633\u0645. \u0641\u0647\u0631\u0633 \u0627\u0644\u0645\u062d\u062a\u0648\u064a\u0627\u062a \ud83c\udfaf \u0623\u0647\u062f\u0627\u0641 \u0627\u0644\u062a\u0639\u0644\u0651\u0645 \u0648\u0627\u0644\u0645\u062a\u0637\u0644\u0628\u0627\u062a \u0627\u0644\u0645\u0633\u0628\u0642\u0629 \ud83d\udcd0 \u0645\u0627 \u0647\u064a \u0627\u0644\u062f\u0627\u0644\u0629\u061f […]<\/p>\n","protected":false},"author":1,"featured_media":8895,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[840],"tags":[],"class_list":["post-8887","post","type-post","status-publish","format-standard","has-post-thumbnail","hentry","category-computer"],"_links":{"self":[{"href":"https:\/\/afedne.info\/index.php?rest_route=\/wp\/v2\/posts\/8887","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/afedne.info\/index.php?rest_route=\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/afedne.info\/index.php?rest_route=\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/afedne.info\/index.php?rest_route=\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/afedne.info\/index.php?rest_route=%2Fwp%2Fv2%2Fcomments&post=8887"}],"version-history":[{"count":1,"href":"https:\/\/afedne.info\/index.php?rest_route=\/wp\/v2\/posts\/8887\/revisions"}],"predecessor-version":[{"id":8888,"href":"https:\/\/afedne.info\/index.php?rest_route=\/wp\/v2\/posts\/8887\/revisions\/8888"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/afedne.info\/index.php?rest_route=\/wp\/v2\/media\/8895"}],"wp:attachment":[{"href":"https:\/\/afedne.info\/index.php?rest_route=%2Fwp%2Fv2%2Fmedia&parent=8887"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/afedne.info\/index.php?rest_route=%2Fwp%2Fv2%2Fcategories&post=8887"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/afedne.info\/index.php?rest_route=%2Fwp%2Fv2%2Ftags&post=8887"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}

{"id":8887,"date":"2025-08-24T08:43:25","date_gmt":"2025-08-24T05:43:25","guid":{"rendered":"https:\/\/afedne.info\/?p=8887"},"modified":"2025-08-24T09:01:18","modified_gmt":"2025-08-24T06:01:18","slug":"%d8%a7%d9%84%d8%af%d9%88%d8%a7%d9%84-%d9%88%d8%a7%d9%84%d8%aa%d9%85%d8%ab%d9%8a%d9%84-%d8%a7%d9%84%d8%a8%d9%8a%d8%a7%d9%86%d9%8a","status":"publish","type":"post","link":"https:\/\/afedne.info\/?p=8887","title":{"rendered":"\u0627\u0644\u062f\u0648\u0627\u0644 \u0648\u0627\u0644\u062a\u0645\u062b\u064a\u0644 \u0627\u0644\u0628\u064a\u0627\u0646\u064a"},"content":{"rendered":"\n\n\n\n\n\n\n\u0631\u064a\u0627\u0636\u064a\u0627\u062a \u0627\u0644\u0635\u0641 \u0627\u0644\u0639\u0627\u0634\u0631: \u0627\u0644\u062f\u0648\u0627\u0644 \u0648\u0627\u0644\u062a\u0645\u062b\u064a\u0644 \u0627\u0644\u0628\u064a\u0627\u0646\u064a (\u0634\u0631\u062d + \u0623\u0645\u062b\u0644\u0629 + \u062a\u062f\u0631\u064a\u0628\u0627\u062a)<\/title>\n<style>\n :root{\n --brand:#bdb76b; \/* \u0630\u0647\u0628\u064a \u0641\u0627\u062a\u062d *\/\n --ink:#0f172a;\n --sub:#475569;\n --muted:#64748b;\n --bg:#ffffff;\n --chip:#f8fafc;\n --note:#fffbea;\n --note-b:#fde68a;\n --tips:#f0fdf4;\n --tips-b:#bbf7d0;\n --warn:#fff1f2;\n --warn-b:#fecdd3;\n }\n html,body{background:var(--bg); color:#222; font-family:\"Segoe UI\",Tahoma,Arial,sans-serif; line-height:1.9; margin:0}\n article{max-width:980px; margin:24px auto; padding:24px}\n h1,h2,h3{color:var(--ink); margin:1.2em 0 .5em}\n h1{font-size:32px;} h2{font-size:24px;} h3{font-size:19px}\n p{margin:.8em 0}\n .sub{color:var(--sub)}\n .lead{font-size:18px; color:var(--ink)}\n .toc{background:var(--chip); border:1px solid #e2e8f0; border-radius:14px; padding:14px 16px}\n .toc a{color:#111; text-decoration:none}\n .toc ol{margin:.5em 1.2em}\n .pill{display:inline-block; padding:.2em .6em; border-radius:999px; background:var(--brand); color:#111; font-weight:600; font-size:12px; margin-left:6px}\n .note{background:var(--note); border:1px solid var(--note-b); border-radius:12px; padding:12px 14px}\n .tips{background:var(--tips); border:1px solid var(--tips-b); border-radius:12px; padding:12px 14px}\n .warn{background:var(--warn); border:1px solid var(--warn-b); border-radius:12px; padding:12px 14px}\n .grid{display:grid; gap:12px}\n .g2{grid-template-columns:repeat(2,minmax(0,1fr))}\n @media(max-width:800px){ .g2{grid-template-columns:1fr} }\n figure{margin:16px auto; text-align:center}\n figcaption{font-size:13px; color:var(--muted)}\n table{border-collapse:collapse; width:100%; margin:14px 0; font-size:15px}\n th,td{border:1px solid #e5e7eb; padding:8px 10px; text-align:right}\n th{background:#f8fafc}\n code.kbd{font-family:ui-monospace,Menlo,monospace; background:#f1f5f9; padding:2px 6px; border-radius:6px}\n .icon{font-style:normal; margin-left:.3em}\n .hr{height:1px; background:#e2e8f0; margin:18px 0}\n details{background:#f8fafc; border:1px solid #e2e8f0; padding:10px 12px; border-radius:12px; margin:10px 0}\n summary{cursor:pointer; font-weight:700}\n .cta{background:#eef2ff; border:1px solid #c7d2fe; border-radius:12px; padding:12px 14px}\n .tag{background:#e2e8f0; color:#111; border-radius:8px; padding:.1em .5em; font-size:12px; margin-left:6px}\n .badge{background:#f1f5f9; border:1px dashed var(--brand); border-radius:10px; padding:.3em .6em; font-size:12px; color:#111}\n .foot{color:var(--muted); font-size:13px; margin-top:28px}\n a{color:#0f172a}\n<\/style>\n<\/head>\n<body>\n<article>\n <header>\n <h1>\ud83d\udcd8 \u0631\u064a\u0627\u0636\u064a\u0627\u062a \u0627\u0644\u0635\u0641 \u0627\u0644\u0639\u0627\u0634\u0631: \u0627\u0644\u062f\u0648\u0627\u0644 \u0648\u0627\u0644\u062a\u0645\u062b\u064a\u0644 \u0627\u0644\u0628\u064a\u0627\u0646\u064a <span class=\"pill\">\u0634\u0631\u062d + \u0623\u0645\u062b\u0644\u0629 + \u062a\u062f\u0631\u064a\u0628\u0627\u062a<\/span><\/h1>\n <p class=\"sub\">\u0647\u0630\u0627 \u0627\u0644\u062f\u0631\u0633 \u0627\u0644\u0634\u0627\u0645\u0644 \u064a\u0636\u0639\u0643 \u0639\u0644\u0649 \u0627\u0644\u0637\u0631\u064a\u0642 \u0627\u0644\u0635\u062d\u064a\u062d \u0644\u0641\u0647\u0645 \u0627\u0644\u062f\u0648\u0627\u0644 \u0628\u0623\u0646\u0648\u0627\u0639\u0647\u0627 (\u0627\u0644\u062e\u0637\u064a\u0629 \u0648\u0627\u0644\u062a\u0631\u0628\u064a\u0639\u064a\u0629 \u0648\u0644\u0645\u062d\u0629 \u0639\u0646 \u0627\u0644\u0623\u0633\u064a\u0629) \u0648\u0643\u064a\u0641\u064a\u0629 \u062a\u0645\u062b\u064a\u0644\u0647\u0627 \u0648\u0642\u0631\u0627\u0621\u0629 \u062e\u0635\u0627\u0626\u0635\u0647\u0627 \u0645\u0646 \u0627\u0644\u0631\u0633\u0645.<\/p>\n <\/header>\n\n <section class=\"toc\">\n <strong>\u0641\u0647\u0631\u0633 \u0627\u0644\u0645\u062d\u062a\u0648\u064a\u0627\u062a<\/strong>\n <ol>\n <li><a href=\"#objectives\">\ud83c\udfaf \u0623\u0647\u062f\u0627\u0641 \u0627\u0644\u062a\u0639\u0644\u0651\u0645 \u0648\u0627\u0644\u0645\u062a\u0637\u0644\u0628\u0627\u062a \u0627\u0644\u0645\u0633\u0628\u0642\u0629<\/a><\/li>\n <li><a href=\"#definition\">\ud83d\udcd0 \u0645\u0627 \u0647\u064a \u0627\u0644\u062f\u0627\u0644\u0629\u061f \u0627\u0644\u0645\u062c\u0627\u0644 \u0648\u0627\u0644\u0645\u062f\u0649<\/a><\/li>\n <li><a href=\"#linear\">\ud83d\udcc8 \u0627\u0644\u062f\u0627\u0644\u0629 \u0627\u0644\u062e\u0637\u064a\u0629: \u0627\u0644\u0645\u064a\u0644 \u0648\u0627\u0644\u0645\u0642\u0637\u0639 \u0648\u0637\u0631\u064a\u0642\u0629 \u0627\u0644\u0631\u0633\u0645<\/a><\/li>\n <li><a href=\"#quadratic\">\ud83d\udff0 \u0627\u0644\u062f\u0627\u0644\u0629 \u0627\u0644\u062a\u0631\u0628\u064a\u0639\u064a\u0629: \u0627\u0644\u0631\u0623\u0633 \u0648\u0645\u062d\u0648\u0631 \u0627\u0644\u062a\u0645\u0627\u062b\u0644 \u0648\u0635\u064a\u063a \u0627\u0644\u062a\u0645\u062b\u064a\u0644<\/a><\/li>\n <li><a href=\"#exponential\">\ud83d\udcca \u0644\u0645\u062d\u0629 \u0633\u0631\u064a\u0639\u0629: \u0627\u0644\u062f\u0627\u0644\u0629 \u0627\u0644\u0623\u0633\u064a\u0629 \u0648\u0627\u0644\u0646\u0645\u0648\/\u0627\u0644\u0627\u0636\u0645\u062d\u0644\u0627\u0644<\/a><\/li>\n <li><a href=\"#transform\">\ud83d\udd01 \u0627\u0644\u062a\u062d\u0648\u064a\u0644\u0627\u062a \u0639\u0644\u0649 \u0627\u0644\u0631\u0633\u0648\u0645: \u0627\u0644\u0625\u0632\u0627\u062d\u0629 \u0648\u0627\u0644\u0627\u0646\u0639\u0643\u0627\u0633 \u0648\u0627\u0644\u062a\u0645\u062f\u062f<\/a><\/li>\n <li><a href=\"#read-graph\">\ud83d\udd0e \u0642\u0631\u0627\u0621\u0629 \u0627\u0644\u0631\u0633\u0645: \u0632\u064a\u0627\u062f\u0627\u062a\/\u0646\u0642\u0635\u0627\u0646 \u0648\u0642\u064a\u0645 \u0639\u0638\u0645\u0649\/\u0635\u063a\u0631\u0649 \u0648 \u0646\u0642\u0627\u0637 \u0627\u0644\u062a\u0642\u0627\u0637\u0639<\/a><\/li>\n <li><a href=\"#models\">\ud83e\udde9 \u0645\u0633\u0627\u0626\u0644 \u0644\u0641\u0638\u064a\u0629: \u0646\u0645\u0630\u062c\u0629 \u0645\u0648\u0627\u0642\u0641 \u062d\u064a\u0627\u062a\u064a\u0629<\/a><\/li>\n <li><a href=\"#practice\">\ud83d\udcdd \u062a\u0645\u0627\u0631\u064a\u0646 \u062a\u062f\u0631\u064a\u0628\u064a\u0629 (20 \u0633\u0624\u0627\u0644) + \u0627\u0644\u062d\u0644\u0648\u0644<\/a><\/li>\n <li><a href=\"#mistakes\">\u26a0\ufe0f \u0623\u062e\u0637\u0627\u0621 \u0634\u0627\u0626\u0639\u0629 \u0648\u0643\u064a\u0641 \u062a\u062a\u062c\u0646\u0628\u0647\u0627<\/a><\/li>\n <li><a href=\"#study-tips\">\ud83d\udca1 \u062e\u0637\u0629 \u0645\u0630\u0627\u0643\u0631\u0629 \u0648\u0627\u0642\u062a\u0631\u0627\u062d\u0627\u062a \u0644\u0644\u0645\u0631\u0627\u062c\u0639\u0629<\/a><\/li>\n <\/ol>\n <\/section>\n\n <section id=\"objectives\">\n <h2>\ud83c\udfaf \u0623\u0647\u062f\u0627\u0641 \u0627\u0644\u062a\u0639\u0644\u0651\u0645 \u0648\u0627\u0644\u0645\u062a\u0637\u0644\u0628\u0627\u062a \u0627\u0644\u0645\u0633\u0628\u0642\u0629<\/h2>\n <div class=\"grid g2\">\n <div class=\"tips\">\n <strong class=\"icon\">\u2705<\/strong> \u0628\u0646\u0647\u0627\u064a\u0629 \u0647\u0630\u0627 \u0627\u0644\u062f\u0631\u0633 \u0633\u062a\u0643\u0648\u0646 \u0642\u0627\u062f\u0631\u064b\u0627 \u0639\u0644\u0649:\n <ul>\n <li>\u062a\u0639\u0631\u064a\u0641 \u0627\u0644\u062f\u0627\u0644\u0629 \u0648\u062a\u0645\u064a\u064a\u0632 \u0645\u062c\u0627\u0644\u0647\u0627 \u0648\u0645\u062f\u0649 \u0642\u064a\u0645\u0647\u0627.<\/li>\n <li>\u0631\u0633\u0645 \u0627\u0644\u062f\u0648\u0627\u0644 \u0627\u0644\u062e\u0637\u064a\u0629 \u0648\u0627\u0644\u062a\u0631\u0628\u064a\u0639\u064a\u0629 \u0648\u0642\u0631\u0627\u0621\u0629 \u062e\u0635\u0627\u0626\u0635\u0647\u0627.<\/li>\n <li>\u062a\u0637\u0628\u064a\u0642 \u062a\u062d\u0648\u064a\u0644\u0627\u062a \u0627\u0644\u0631\u0633\u0648\u0645 (\u0625\u0632\u0627\u062d\u0629\/\u0627\u0646\u0639\u0643\u0627\u0633\/\u062a\u0645\u062f\u062f).<\/li>\n <li>\u062d\u0644 \u0645\u0633\u0627\u0626\u0644 \u0644\u0641\u0638\u064a\u0629 \u0648\u062a\u0641\u0633\u064a\u0631 \u0627\u0644\u0646\u062a\u0627\u0626\u062c.<\/li>\n <\/ul>\n <\/div>\n <div class=\"note\">\n <strong class=\"icon\">\u2139\ufe0f<\/strong> \u0627\u0644\u0645\u062a\u0637\u0644\u0628\u0627\u062a \u0627\u0644\u0645\u0633\u0628\u0642\u0629:\n <ul>\n <li>\u0639\u0645\u0644\u064a\u0627\u062a \u062c\u0628\u0631\u064a\u0629 \u0623\u0633\u0627\u0633\u064a\u0629 \u0648\u062a\u0628\u0633\u064a\u0637 \u0627\u0644\u062a\u0639\u0627\u0628\u064a\u0631.<\/li>\n <li>\u0646\u0642\u0627\u0637 \u0639\u0644\u0649 \u0627\u0644\u0645\u0633\u062a\u0648\u0649 \u0627\u0644\u0625\u062d\u062f\u0627\u062b\u064a \u0648\u062d\u0633\u0627\u0628 \u0627\u0644\u0645\u064a\u0644 <code class=\"kbd\">(y2 - y1) \/ (x2 - x1)<\/code>.<\/li>\n <\/ul>\n <\/div>\n <\/div>\n <\/section>\n\n <section id=\"definition\">\n <h2>\ud83d\udcd0 \u0645\u0627 \u0647\u064a \u0627\u0644\u062f\u0627\u0644\u0629\u061f \u0627\u0644\u0645\u062c\u0627\u0644 \u0648\u0627\u0644\u0645\u062f\u0649<\/h2>\n <p><strong>\u0627\u0644\u062f\u0627\u0644\u0629<\/strong> \u0639\u0644\u0627\u0642\u0629 \u062a\u0631\u0628\u0637 \u0643\u0644 \u0639\u0646\u0635\u0631 \u0645\u0646 <em>\u0627\u0644\u0645\u062c\u0627\u0644<\/em> (\u0642\u064a\u0645 <code class=\"kbd\">x<\/code>) \u0628\u0642\u064a\u0645\u0629 \u0648\u0627\u062d\u062f\u0629 \u0641\u0642\u0637 \u0641\u064a <em>\u0627\u0644\u0645\u062f\u0649<\/em> (\u0642\u064a\u0645 <code class=\"kbd\">y<\/code>). \u0646\u0643\u062a\u0628\u0647\u0627 \u0639\u0627\u062f\u0629: <code class=\"kbd\">y = f(x)<\/code>.<\/p>\n <ul>\n <li><strong>\u0627\u0644\u0645\u062c\u0627\u0644 (Domain):<\/strong> \u062c\u0645\u064a\u0639 \u0642\u064a\u0645 <code class=\"kbd\">x<\/code> \u0627\u0644\u0645\u0633\u0645\u0648\u062d \u0628\u0647\u0627.<\/li>\n <li><strong>\u0627\u0644\u0645\u062f\u0649 (Range):<\/strong> \u0627\u0644\u0642\u064a\u0645 \u0627\u0644\u0646\u0627\u062a\u062c\u0629 \u0644\u0640 <code class=\"kbd\">y<\/code> \u0639\u0646\u062f \u0627\u0644\u062a\u0639\u0648\u064a\u0636 \u0641\u064a \u0627\u0644\u062f\u0627\u0644\u0629.<\/li>\n <\/ul>\n <div class=\"tips\">\n <strong>\u0627\u062e\u062a\u0628\u0627\u0631 \u0627\u0644\u062e\u0637 \u0627\u0644\u0645\u0633\u062a\u0642\u064a\u0645:<\/strong> \u0625\u0630\u0627 \u0642\u0637\u0639 \u0623\u064a \u062e\u0637 \u0645\u0633\u062a\u0642\u064a\u0645 \u0627\u0644\u0631\u0633\u0645 \u0641\u064a \u0623\u0643\u062b\u0631 \u0645\u0646 \u0646\u0642\u0637\u0629\u060c \u0641\u0647\u0630\u0627 <em>\u0644\u064a\u0633<\/em> \u062a\u0645\u062b\u064a\u0644 \u062f\u0627\u0644\u0629.\n <\/div>\n <\/section>\n\n <section id=\"linear\">\n <h2>\ud83d\udcc8 \u0627\u0644\u062f\u0627\u0644\u0629 \u0627\u0644\u062e\u0637\u064a\u0629: \u0627\u0644\u0645\u064a\u0644 \u0648\u0627\u0644\u0645\u0642\u0637\u0639 \u0648\u0637\u0631\u064a\u0642\u0629 \u0627\u0644\u0631\u0633\u0645<\/h2>\n <p>\u0635\u064a\u063a\u062a\u0647\u0627 \u0627\u0644\u0634\u0627\u0626\u0639\u0629: <code class=\"kbd\">y = mx + b<\/code> \u062d\u064a\u062b <span class=\"badge\">m = \u0627\u0644\u0645\u064a\u0644<\/span> \u0648 <span class=\"badge\">b = \u0646\u0642\u0637\u0629 \u0627\u0644\u062a\u0642\u0627\u0637\u0639 \u0645\u0639 \u0645\u062d\u0648\u0631 y<\/span>.<\/p>\n <div class=\"grid g2\">\n <div>\n <h3>\u062e\u0637\u0648\u0627\u062a \u0627\u0644\u0631\u0633\u0645<\/h3>\n <ol>\n <li>\u062d\u062f\u0651\u062f <code class=\"kbd\">b<\/code> \u0648\u0627\u0631\u0633\u0645 \u0627\u0644\u0646\u0642\u0637\u0629 \u0639\u0644\u0649 \u0645\u062d\u0648\u0631 <code class=\"kbd\">y<\/code>.<\/li>\n <li>\u0627\u0633\u062a\u062e\u062f\u0645 \u0627\u0644\u0645\u064a\u0644 <code class=\"kbd\">m = \u0394y\/\u0394x<\/code> \u0644\u0644\u0627\u0646\u062a\u0642\u0627\u0644 \u0645\u0646 \u0627\u0644\u0646\u0642\u0637\u0629 \u0627\u0644\u0623\u0648\u0644\u0649 \u0625\u0644\u0649 \u0627\u0644\u062b\u0627\u0646\u064a\u0629.<\/li>\n <li>\u0627\u0631\u0633\u0645 \u062e\u0637\u064b\u0627 \u064a\u0645\u0631 \u0628\u0627\u0644\u0646\u0642\u0637\u062a\u064a\u0646 \u0648\u0627\u0645\u062a\u062f\u0647.<\/li>\n <\/ol>\n <\/div>\n <div>\n <h3>\u0645\u062b\u0627\u0644 \u0645\u062d\u0644\u0648\u0644 1<\/h3>\n <p>\u0627\u0631\u0633\u0645 <code class=\"kbd\">y = 2x - 3<\/code>.<\/p>\n <ul>\n <li><strong>\u0627\u0644\u0645\u064a\u0644:<\/strong> <code class=\"kbd\">m = 2<\/code> \u0623\u064a \u0627\u0644\u0635\u0639\u0648\u062f 2 \u0648\u0627\u0644\u0648\u0635\u0648\u0644 \u064a\u0645\u064a\u0646\u064b\u0627 1.<\/li>\n <li><strong>\u0627\u0644\u0645\u0642\u0637\u0639:<\/strong> <code class=\"kbd\">b = -3<\/code> (\u0627\u0644\u0646\u0642\u0637\u0629 <code class=\"kbd\">(0, -3)<\/code>).<\/li>\n <li>\u0646\u0642\u0637\u0629 \u062b\u0627\u0646\u064a\u0629: \u0645\u0646 <code class=\"kbd\">(0,-3)<\/code> \u0627\u0646\u062a\u0642\u0644 \u0625\u0644\u0649 <code class=\"kbd\">(1,-1)<\/code>.<\/li>\n <\/ul>\n <div class=\"tips\">\u0627\u0644\u0645\u062c\u0627\u0644: \u062c\u0645\u064a\u0639 \u0627\u0644\u0623\u0639\u062f\u0627\u062f \u0627\u0644\u062d\u0642\u064a\u0642\u064a\u0629. \u0627\u0644\u0645\u062f\u0649: \u062c\u0645\u064a\u0639 \u0627\u0644\u0623\u0639\u062f\u0627\u062f \u0627\u0644\u062d\u0642\u064a\u0642\u064a\u0629.<\/div>\n <\/div>\n <\/div>\n\n <h3>\u0645\u062b\u0627\u0644 \u0645\u062d\u0644\u0648\u0644 2 (\u0625\u064a\u062c\u0627\u062f \u0627\u0644\u0645\u0639\u0627\u062f\u0644\u0629 \u0645\u0646 \u0646\u0642\u0637\u062a\u064a\u0646)<\/h3>\n <p>\u0623\u0648\u062c\u062f \u0645\u0639\u0627\u062f\u0644\u0629 \u0627\u0644\u062e\u0637 \u0627\u0644\u0645\u0627\u0631 \u0628\u0627\u0644\u0646\u0642\u0637\u062a\u064a\u0646 <code class=\"kbd\">A(\u22121, 2)<\/code> \u0648 <code class=\"kbd\">B(3, 6)<\/code>.<\/p>\n <ol>\n <li>\u0627\u0644\u0645\u064a\u0644: <code class=\"kbd\">m = (6 - 2) \/ (3 - (-1)) = 4\/4 = 1<\/code>.<\/li>\n <li>\u0627\u0644\u0645\u0639\u0627\u062f\u0644\u0629: <code class=\"kbd\">y = x + b<\/code>. \u0639\u0648\u0651\u0636 \u0628\u0640 <code class=\"kbd\">A<\/code>: <code class=\"kbd\">2 = (\u22121) + b \u27f9 b = 3<\/code>.<\/li>\n <li><strong>\u0627\u0644\u0646\u062a\u064a\u062c\u0629:<\/strong> <code class=\"kbd\">y = x + 3<\/code>.<\/li>\n <\/ol>\n\n <h3>\u062c\u062f\u0648\u0644 \u0642\u064a\u0645 \u0633\u0631\u064a\u0639<\/h3>\n <table>\n <thead><tr><th>x<\/th><th>y = 2x \u2212 3<\/th><th>x<\/th><th>y = x + 3<\/th><\/tr><\/thead>\n <tbody>\n <tr><td>\u22121<\/td><td>\u22125<\/td><td>0<\/td><td>3<\/td><\/tr>\n <tr><td>0<\/td><td>\u22123<\/td><td>1<\/td><td>4<\/td><\/tr>\n <tr><td>1<\/td><td>\u22121<\/td><td>2<\/td><td>5<\/td><\/tr>\n <\/tbody>\n <\/table>\n <\/section>\n\n <section id=\"quadratic\">\n <h2>\ud83d\udff0 \u0627\u0644\u062f\u0627\u0644\u0629 \u0627\u0644\u062a\u0631\u0628\u064a\u0639\u064a\u0629: \u0627\u0644\u0631\u0623\u0633 \u0648\u0645\u062d\u0648\u0631 \u0627\u0644\u062a\u0645\u0627\u062b\u0644 \u0648\u0635\u064a\u063a \u0627\u0644\u062a\u0645\u062b\u064a\u0644<\/h2>\n <p>\u0635\u064a\u063a\u062a\u0647\u0627 \u0627\u0644\u0639\u0627\u0645\u0629: <code class=\"kbd\">y = ax\u00b2 + bx + c<\/code> \u062d\u064a\u062b <code class=\"kbd\">a \u2260 0<\/code>. \u0625\u0630\u0627 <code class=\"kbd\">a > 0<\/code> \u064a\u0643\u0648\u0646 <strong>\u0627\u0644\u0642\u0637\u0639 \u0627\u0644\u0645\u0643\u0627\u0641\u0626<\/strong> \u0645\u0641\u062a\u0648\u062d\u064b\u0627 \u0644\u0623\u0639\u0644\u0649\u060c \u0648\u0625\u0630\u0627 <code class=\"kbd\">a < 0<\/code> \u0645\u0641\u062a\u0648\u062d \u0644\u0623\u0633\u0641\u0644.<\/p>\n <div class=\"grid g2\">\n <div>\n <h3>\u062e\u0635\u0627\u0626\u0635 \u0623\u0633\u0627\u0633\u064a\u0629<\/h3>\n <ul>\n <li><strong>\u0627\u0644\u0631\u0623\u0633:<\/strong> \u0646\u0642\u0637\u0629 \u0627\u0644\u0639\u0638\u0645\u0649\/\u0627\u0644\u0635\u063a\u0631\u0649.<\/li>\n <li><strong>\u0645\u062d\u0648\u0631 \u0627\u0644\u062a\u0645\u0627\u062b\u0644:<\/strong> \u062e\u0637 \u0639\u0645\u0648\u062f\u064a \u064a\u0645\u0631 \u0628\u0627\u0644\u0631\u0623\u0633.<\/li>\n <li><strong>\u0646\u0642\u0627\u0637 \u0627\u0644\u062a\u0642\u0627\u0637\u0639:<\/strong> \u0645\u0639 \u0627\u0644\u0645\u062d\u0648\u0631\u064a\u0646 x \u0648 y.<\/li>\n <\/ul>\n <p>\u064a\u0645\u0643\u0646 \u0643\u062a\u0627\u0628\u062a\u0647\u0627 \u0628\u0635\u064a\u063a\u0629 \u0627\u0644\u0631\u0623\u0633: <code class=\"kbd\">y = a(x \u2212 h)\u00b2 + k<\/code> \u062d\u064a\u062b <code class=\"kbd\">(h, k)<\/code> \u0647\u0648 \u0627\u0644\u0631\u0623\u0633.<\/p>\n <\/div>\n <div>\n <h3>\u0645\u062b\u0627\u0644 \u0645\u062d\u0644\u0648\u0644 3 (\u0625\u0643\u0645\u0627\u0644 \u0627\u0644\u0645\u0631\u0628\u0639)<\/h3>\n <p>\u062d\u0644\u0651\u0644 <code class=\"kbd\">y = x\u00b2 \u2212 4x + 1<\/code> \u0625\u0644\u0649 \u0635\u064a\u063a\u0629 \u0627\u0644\u0631\u0623\u0633.<\/p>\n <ol>\n <li>\u062e\u0630 \u0627\u0644\u0646\u0635\u0641 \u0645\u0646 <code class=\"kbd\">\u22124<\/code> \u062b\u0645 \u0645\u0631\u0628\u0651\u0639\u0647: <code class=\"kbd\">(\u22122)\u00b2 = 4<\/code>.<\/li>\n <li>\u0623\u0636\u0641 \u0648\u0627\u0637\u0631\u062d 4: <code class=\"kbd\">y = (x\u00b2 \u2212 4x + 4) \u2212 3 = (x \u2212 2)\u00b2 \u2212 3<\/code>.<\/li>\n <li><strong>\u0627\u0644\u0631\u0623\u0633:<\/strong> <code class=\"kbd\">(2, \u22123)<\/code>. \u0645\u062d\u0648\u0631 \u0627\u0644\u062a\u0645\u0627\u062b\u0644: <code class=\"kbd\">x = 2<\/code>.<\/li>\n <\/ol>\n <\/div>\n <\/div>\n\n <h3>\u0645\u062b\u0627\u0644 \u0645\u062d\u0644\u0648\u0644 4 (\u0627\u0644\u0645\u0645\u064a\u0632 \u0648\u0627\u0644\u062a\u0642\u0627\u0637\u0639\u0627\u062a)<\/h3>\n <p>\u0644\u0644\u062f\u0627\u0644\u0629 <code class=\"kbd\">y = \u2212x\u00b2 + 2x + 3<\/code>:\n <ul>\n <li><strong>\u0627\u0644\u0645\u0645\u064a\u0632:<\/strong> <code class=\"kbd\">\u0394 = b\u00b2 \u2212 4ac = 4 \u2212 4(\u22121)(3) = 16<\/code> \u21d2 \u062c\u0630\u0631\u0627\u0646 \u062d\u0642\u064a\u0642\u064a\u0627\u0646.<\/li>\n <li><strong>\u0627\u0644\u062a\u0642\u0627\u0637\u0639\u0627\u062a \u0645\u0639 x:<\/strong> \u062d\u0644 <code class=\"kbd\">\u2212x\u00b2 + 2x + 3 = 0<\/code> \u21d2 <code class=\"kbd\">x = \u22121<\/code> \u0623\u0648 <code class=\"kbd\">x = 3<\/code>.<\/li>\n <li><strong>\u0627\u0644\u062a\u0642\u0627\u0637\u0639 \u0645\u0639 y:<\/strong> \u0639\u0646\u062f <code class=\"kbd\">x = 0<\/code> \u0646\u062d\u0635\u0644 \u0639\u0644\u0649 <code class=\"kbd\">y = 3<\/code>.<\/li>\n <li><strong>\u0627\u0644\u0631\u0623\u0633:<\/strong> <code class=\"kbd\">x_v = \u2212b\/(2a) = \u22122\/(\u22122) = 1<\/code> \u062b\u0645 <code class=\"kbd\">y_v = \u22121 + 2 + 3 = 4<\/code> \u21d2 <code class=\"kbd\">(1, 4)<\/code>.<\/li>\n <\/ul>\n <\/p>\n <\/section>\n\n <section id=\"exponential\">\n <h2>\ud83d\udcca \u0644\u0645\u062d\u0629 \u0633\u0631\u064a\u0639\u0629: \u0627\u0644\u062f\u0627\u0644\u0629 \u0627\u0644\u0623\u0633\u064a\u0629<\/h2>\n <p>\u0627\u0644\u062f\u0627\u0644\u0629 \u0627\u0644\u0623\u0633\u064a\u0629 \u0639\u0644\u0649 \u0627\u0644\u0635\u0648\u0631\u0629 <code class=\"kbd\">y = a\u00b7b^x<\/code> \u0645\u0639 <code class=\"kbd\">a \u2260 0<\/code> \u0648 <code class=\"kbd\">b > 0<\/code> \u0648 <code class=\"kbd\">b \u2260 1<\/code>.\n \u0625\u0630\u0627 <code class=\"kbd\">b > 1<\/code> \u0641\u0647\u0646\u0627\u0643 <strong>\u0646\u0645\u0648<\/strong>\u060c \u0648\u0625\u0630\u0627 <code class=\"kbd\">0 < b < 1<\/code> \u0641\u0647\u0646\u0627\u0643 <strong>\u0627\u0636\u0645\u062d\u0644\u0627\u0644<\/strong>.<\/p>\n <div class=\"note\">\u064a\u0645\u0631 \u0627\u0644\u0631\u0633\u0645 \u0639\u0627\u062f\u0629 \u0628\u0627\u0644\u0646\u0642\u0637\u0629 <code class=\"kbd\">(0, a)<\/code> \u0648\u0644\u0647 \u0627\u0642\u062a\u0631\u0627\u0628 \u0623\u0641\u0642\u064a \u0645\u0646 \u0627\u0644\u0645\u062d\u0648\u0631 <code class=\"kbd\">x<\/code>.<\/div>\n <h3>\u0645\u062b\u0627\u0644 \u0645\u062e\u062a\u0635\u0631<\/h3>\n <p><code class=\"kbd\">y = 100\u00b7(1.05)^x<\/code> \u064a\u0635\u0641 \u0631\u0635\u064a\u062f\u064b\u0627 \u064a\u0646\u0645\u0648 \u0628\u0646\u0633\u0628\u0629 5% \u0644\u0643\u0644 \u0641\u062a\u0631\u0629.<\/p>\n <\/section>\n\n <section id=\"transform\">\n <h2>\ud83d\udd01 \u0627\u0644\u062a\u062d\u0648\u064a\u0644\u0627\u062a \u0639\u0644\u0649 \u0627\u0644\u0631\u0633\u0648\u0645<\/h2>\n <table>\n <thead><tr><th>\u0627\u0644\u062a\u062d\u0648\u064a\u0644<\/th><th>\u0627\u0644\u062a\u0623\u062b\u064a\u0631 \u0639\u0644\u0649 \u0627\u0644\u062f\u0627\u0644\u0629<\/th><th>\u0627\u0644\u0648\u0635\u0641<\/th><\/tr><\/thead>\n <tbody>\n <tr><td>\u0625\u0632\u0627\u062d\u0629 \u0644\u0623\u0639\u0644\u0649\/\u0623\u0633\u0641\u0644<\/td><td><code class=\"kbd\">y = f(x) + k<\/code><\/td><td>\u0644\u0623\u0639\u0644\u0649 \u0625\u0630\u0627 <code class=\"kbd\">k>0<\/code>\u060c \u0644\u0623\u0633\u0641\u0644 \u0625\u0630\u0627 <code class=\"kbd\">k<0<\/code><\/td><\/tr>\n <tr><td>\u0625\u0632\u0627\u062d\u0629 \u064a\u0645\u064a\u0646\/\u064a\u0633\u0627\u0631<\/td><td><code class=\"kbd\">y = f(x \u2212 h)<\/code><\/td><td>\u064a\u0645\u064a\u0646 \u0625\u0630\u0627 <code class=\"kbd\">h>0<\/code>\u060c \u064a\u0633\u0627\u0631 \u0625\u0630\u0627 <code class=\"kbd\">h<0<\/code><\/td><\/tr>\n <tr><td>\u0627\u0646\u0639\u0643\u0627\u0633 \u062d\u0648\u0644 x<\/td><td><code class=\"kbd\">y = \u2212f(x)<\/code><\/td><td>\u064a\u0639\u0643\u0633 \u0627\u0644\u0631\u0633\u0645 \u0631\u0623\u0633\u064a\u064b\u0627<\/td><\/tr>\n <tr><td>\u0627\u0646\u0639\u0643\u0627\u0633 \u062d\u0648\u0644 y<\/td><td><code class=\"kbd\">y = f(\u2212x)<\/code><\/td><td>\u064a\u0639\u0643\u0633 \u0627\u0644\u0631\u0633\u0645 \u0623\u0641\u0642\u064a\u064b\u0627<\/td><\/tr>\n <tr><td>\u062a\u0645\u062f\u062f\/\u0636\u063a\u0637 \u0631\u0623\u0633\u064a<\/td><td><code class=\"kbd\">y = a\u00b7f(x)<\/code><\/td><td>\u062a\u0645\u062f\u062f \u0625\u0630\u0627 <code class=\"kbd\">|a|>1<\/code>\u060c \u0636\u063a\u0637 \u0625\u0630\u0627 <code class=\"kbd\">0<|a|<1<\/code><\/td><\/tr>\n <tr><td>\u062a\u0645\u062f\u062f\/\u0636\u063a\u0637 \u0623\u0641\u0642\u064a<\/td><td><code class=\"kbd\">y = f(bx)<\/code><\/td><td>\u0636\u063a\u0637 \u0623\u0641\u0642\u064a \u0625\u0630\u0627 <code class=\"kbd\">|b|>1<\/code>\u060c \u062a\u0645\u062f\u062f \u0625\u0630\u0627 <code class=\"kbd\">0<|b|<1<\/code><\/td><\/tr>\n <\/tbody>\n <\/table>\n\n <h3>\u0645\u062b\u0627\u0644 \u0645\u062d\u0644\u0648\u0644 5 (\u062a\u062d\u0648\u064a\u0644\u0627\u062a \u0639\u0644\u0649 \u062a\u0631\u0628\u064a\u0639\u064a\u0629)<\/h3>\n <p>\u062d\u0648\u0651\u0644 <code class=\"kbd\">y = (x \u2212 2)\u00b2 \u2212 3<\/code> \u0627\u0646\u0637\u0644\u0627\u0642\u064b\u0627 \u0645\u0646 <code class=\"kbd\">y = x\u00b2<\/code>:\n <ul>\n <li>\u0625\u0632\u0627\u062d\u0629 2 \u064a\u0645\u064a\u0646\u064b\u0627.<\/li>\n <li>\u0625\u0632\u0627\u062d\u0629 3 \u0648\u062d\u062f\u0627\u062a \u0644\u0623\u0633\u0641\u0644.<\/li>\n <\/ul>\n <\/p>\n <\/section>\n\n <section id=\"read-graph\">\n <h2>\ud83d\udd0e \u0642\u0631\u0627\u0621\u0629 \u0627\u0644\u0631\u0633\u0645<\/h2>\n <ul>\n <li><strong>\u0646\u0642\u0627\u0637 \u0627\u0644\u062a\u0642\u0627\u0637\u0639 \u0645\u0639 x:<\/strong> \u062d\u0644\u0648\u0644 <code class=\"kbd\">f(x) = 0<\/code>.<\/li>\n <li><strong>\u0627\u0644\u062a\u0642\u0627\u0637\u0639 \u0645\u0639 y:<\/strong> \u0642\u064a\u0645\u0629 <code class=\"kbd\">f(0)<\/code>.<\/li>\n <li><strong>\u0627\u0644\u0632\u064a\u0627\u062f\u0629\/\u0627\u0644\u0646\u0642\u0635\u0627\u0646:<\/strong> \u0623\u064a\u0646 \u064a\u0631\u062a\u0641\u0639\/\u064a\u0646\u062e\u0641\u0636 \u0627\u0644\u0631\u0633\u0645 \u0628\u0632\u064a\u0627\u062f\u0629 <code class=\"kbd\">x<\/code>.<\/li>\n <li><strong>\u0642\u064a\u0645 \u0639\u0638\u0645\u0649\/\u0635\u063a\u0631\u0649:<\/strong> \u0642\u0645\u0651\u0629\/\u0642\u0627\u0639 \u0627\u0644\u0631\u0633\u0645 (\u0645\u062d\u0644\u064a\u0629 \u0623\u0648 \u0645\u0637\u0644\u0642\u0629).<\/li>\n <\/ul>\n <div class=\"warn\">\u0627\u0646\u062a\u0628\u0640\u0647: \u0642\u0631\u0627\u0621\u0629 \u0627\u0644\u0632\u064a\u0627\u062f\u0629\/\u0627\u0644\u0646\u0642\u0635\u0627\u0646 \u062a\u062a\u0645 \u0645\u0646 <em>\u064a\u0633\u0627\u0631 \u0644\u064a\u0645\u064a\u0646<\/em> \u0639\u0644\u0649 \u0627\u0644\u0645\u062d\u0648\u0631 \u0627\u0644\u0623\u0641\u0642\u064a.<\/div>\n <\/section>\n\n <section id=\"models\">\n <h2>\ud83e\udde9 \u0645\u0633\u0627\u0626\u0644 \u0644\u0641\u0638\u064a\u0629 \u0645\u062e\u062a\u0635\u0631\u0629<\/h2>\n <h3>\u0645\u062b\u0627\u0644 6 (\u062e\u0637\u064a)<\/h3>\n <p>\u062a\u0643\u0644\u0641\u0629 \u0631\u0643\u0648\u0628 \u0633\u064a\u0627\u0631\u0629 \u0623\u062c\u0631\u0629: \u0641\u062a\u062d \u0627\u0644\u0639\u062f\u0627\u062f 1.5 \u0631\u064a\u0627\u0644 + 0.4 \u0631\u064a\u0627\u0644 \u0644\u0643\u0644 \u0643\u064a\u0644\u0648\u0645\u062a\u0631. \u0645\u062b\u0651\u0644 \u0627\u0644\u062a\u0643\u0644\u0641\u0629 <code class=\"kbd\">C(x) = 1.5 + 0.4x<\/code>.\n \u0639\u0646\u062f 10 \u0643\u0645: <code class=\"kbd\">C(10) = 1.5 + 4 = 5.5<\/code>.<\/p>\n\n <h3>\u0645\u062b\u0627\u0644 7 (\u062a\u0631\u0628\u064a\u0639\u064a)<\/h3>\n <p>\u064a\u0631\u062a\u0641\u0639 \u062c\u0633\u0645 \u0628\u0633\u0631\u0639\u0629 \u0627\u0628\u062a\u062f\u0627\u0626\u064a\u0629 \u0641\u064a \u0627\u0644\u0641\u0631\u0627\u063a \u0627\u0644\u0631\u0623\u0633\u064a \u0648\u0641\u0642 <code class=\"kbd\">h(t) = \u22125t\u00b2 + 20t + 3<\/code> (\u0645\u062a\u0631). \u0623\u0642\u0635\u0649 \u0627\u0631\u062a\u0641\u0627\u0639 \u0639\u0646\u062f \u0627\u0644\u0631\u0623\u0633:\n <code class=\"kbd\">t_v = \u2212b\/(2a) = \u221220\/(\u221210) = 2<\/code> \u062b\u0645 <code class=\"kbd\">h(2) = \u221220 + 40 + 3 = 23<\/code> \u0645\u062a\u0631.<\/p>\n <\/section>\n\n <section id=\"practice\">\n <h2>\ud83d\udcdd \u062a\u0645\u0627\u0631\u064a\u0646 \u062a\u062f\u0631\u064a\u0628\u064a\u0629 (20 \u0633\u0624\u0627\u0644)<\/h2>\n <ol>\n <li>\u0623\u0648\u062c\u062f \u0645\u064a\u0644 \u0627\u0644\u062e\u0637 \u0627\u0644\u0648\u0627\u0635\u0644 \u0628\u064a\u0646 <code class=\"kbd\">A(1,\u22123)<\/code> \u0648 <code class=\"kbd\">B(5,5)<\/code>.<\/li>\n <li>\u0627\u0643\u062a\u0628 \u0645\u0639\u0627\u062f\u0644\u0629 \u0627\u0644\u062e\u0637 \u0627\u0644\u0645\u0627\u0631 \u0628\u0640 <code class=\"kbd\">(0,2)<\/code> \u0648\u0645\u064a\u0644\u0647 <code class=\"kbd\">\u22121\/2<\/code>.<\/li>\n <li>\u0647\u0644 \u0627\u0644\u0639\u0644\u0627\u0642\u0629 \u0627\u0644\u0645\u0645\u062b\u0644\u0629 \u0628\u0631\u0633\u0645 \u064a\u0645\u0631 \u0628\u0627\u0644\u0646\u0642\u0627\u0637 <code class=\"kbd\">(\u22121,1),(0,1),(1,1)<\/code> \u062f\u0627\u0644\u0629\u061f \u0648\u0644\u0645\u0627\u0630\u0627\u061f<\/li>\n <li>\u062d\u0648\u0651\u0644 <code class=\"kbd\">y = x\u00b2 + 6x + 5<\/code> \u0625\u0644\u0649 \u0635\u064a\u063a\u0629 \u0627\u0644\u0631\u0623\u0633.<\/li>\n <li>\u0623\u0648\u062c\u062f \u062c\u0630\u0631\u064a \u0627\u0644\u0645\u0639\u0627\u062f\u0644\u0629 <code class=\"kbd\">x\u00b2 \u2212 5x + 6 = 0<\/code>.<\/li>\n <li>\u0627\u062d\u0633\u0628 <code class=\"kbd\">f(3)<\/code> \u0625\u0630\u0627 \u0643\u0627\u0646\u062a <code class=\"kbd\">f(x) = 2x \u2212 7<\/code>.<\/li>\n <li>\u0627\u0631\u0633\u0645 \u0628\u0633\u0631\u0639\u0629 \u062e\u0637 <code class=\"kbd\">y = \u22123x + 4<\/code> \u0628\u0630\u0643\u0631 \u0646\u0642\u0637\u062a\u064a\u0646 \u0639\u0644\u0649 \u0627\u0644\u0623\u0642\u0644.<\/li>\n <li>\u0644\u0644\u062f\u0627\u0644\u0629 <code class=\"kbd\">y = \u2212x\u00b2 + 4x \u2212 1<\/code> \u0623\u0648\u062c\u062f \u0627\u0644\u0631\u0623\u0633 \u0648\u0645\u062d\u0648\u0631 \u0627\u0644\u062a\u0645\u0627\u062b\u0644.<\/li>\n <li>\u0628\u064a\u0651\u0646 \u0623\u062b\u0631 \u062a\u062d\u0648\u064a\u0644 <code class=\"kbd\">y = (x + 1)\u00b2<\/code> \u0645\u0642\u0627\u0631\u0646\u0629 \u0628\u0640 <code class=\"kbd\">y = x\u00b2<\/code>.<\/li>\n <li>\u062c\u062f\u0648\u0644 \u0642\u064a\u0645 \u0644\u0640 <code class=\"kbd\">y = 0.5x + 1<\/code> \u0639\u0646\u062f <code class=\"kbd\">x = \u22122,0,2<\/code>.<\/li>\n <li>\u0625\u0630\u0627 \u0643\u0627\u0646 <code class=\"kbd\">g(x) = 3(x \u2212 2)\u00b2 + 5<\/code> \u0641\u0623\u064a\u0646 \u064a\u0642\u0639 \u0627\u0644\u0631\u0623\u0633\u061f \u0648\u0647\u0644 \u0627\u0644\u0641\u062a\u062d\u0629 \u0644\u0623\u0639\u0644\u0649 \u0623\u0645 \u0644\u0623\u0633\u0641\u0644\u061f<\/li>\n <li>\u062d\u0644 <code class=\"kbd\">2x \u2212 5 = 9<\/code> \u062b\u0645 \u0623\u0639\u0637 \u0646\u0642\u0637\u0629 \u0639\u0644\u0649 \u0627\u0644\u062e\u0637 <code class=\"kbd\">y = 2x \u2212 5<\/code>.<\/li>\n <li>\u0623\u0648\u062c\u062f \u0646\u0642\u0637\u0629 \u0627\u0644\u062a\u0642\u0627\u0637\u0639 \u0645\u0639 \u0645\u062d\u0648\u0631 <code class=\"kbd\">y<\/code> \u0641\u064a <code class=\"kbd\">y = 4x \u2212 9<\/code>.<\/li>\n <li>\u0647\u0644 \u0627\u0644\u062f\u0627\u0644\u0629 <code class=\"kbd\">y = |x|<\/code> \u062e\u0637\u064a\u0629\u061f \u0641\u0633\u0651\u0631.<\/li>\n <li>\u0644\u0645\u062d\u0629: \u0625\u0630\u0627 <code class=\"kbd\">P(t) = 200(0.9)^t<\/code>\u060c \u0647\u0644 \u0647\u0646\u0627\u0643 \u0646\u0645\u0648 \u0623\u0645 \u0627\u0636\u0645\u062d\u0644\u0627\u0644\u061f<\/li>\n <li>\u0627\u062d\u0633\u0628 \u0642\u064a\u0645\u0629 <code class=\"kbd\">\u0394<\/code> \u0644\u0640 <code class=\"kbd\">x\u00b2 \u2212 4x + 4 = 0<\/code> \u0648\u0641\u0633\u0651\u0631 \u0639\u062f\u062f \u0627\u0644\u062c\u0630\u0648\u0631.<\/li>\n <li>\u062d\u0648\u0651\u0644 <code class=\"kbd\">y = \u22122(x \u2212 3)\u00b2 + 1<\/code> \u0625\u0644\u0649 \u0627\u0644\u0635\u064a\u063a\u0629 \u0627\u0644\u0639\u0627\u0645\u0629.<\/li>\n <li>\u0623\u064a\u0646 \u064a\u0642\u0637\u0639 <code class=\"kbd\">y = x + 1<\/code> \u0627\u0644\u0645\u062d\u0648\u0631 <code class=\"kbd\">x<\/code>\u061f<\/li>\n <li>\u0628\u064a\u0651\u0646 \u0641\u062a\u0631\u0627\u062a \u0627\u0644\u0632\u064a\u0627\u062f\u0629\/\u0627\u0644\u0646\u0642\u0635\u0627\u0646 \u0644\u0644\u062a\u0631\u0628\u064a\u0639\u064a\u0629 <code class=\"kbd\">y = (x \u2212 1)\u00b2 \u2212 4<\/code>.<\/li>\n <li>\u0633\u0624\u0627\u0644 \u0644\u0641\u0638\u064a: \u064a\u0628\u064a\u0639 \u0645\u062a\u062c\u0631 \u0627\u0634\u062a\u0631\u0627\u0643\u064b\u0627 \u0645\u0642\u0627\u0628\u0644 5 \u0631\u064a\u0627\u0644\u0627\u062a \u0623\u0633\u0627\u0633\u064a + 1.5 \u0631\u064a\u0627\u0644 \u0644\u0643\u0644 \u0633\u0627\u0639\u0629 \u0627\u0633\u062a\u062e\u062f\u0627\u0645. \u0627\u0643\u062a\u0628 \u0646\u0645\u0648\u0630\u062c \u0627\u0644\u062a\u0643\u0644\u0641\u0629.<\/li>\n <\/ol>\n\n <details>\n <summary>\u0625\u062c\u0627\u0628\u0627\u062a \u0645\u062e\u062a\u0635\u0631\u0629<\/summary>\n <ol>\n <li><code class=\"kbd\">m = (5 \u2212 (\u22123))\/(5 \u2212 1) = 8\/4 = 2<\/code>.<\/li>\n <li><code class=\"kbd\">y = \u2212(1\/2)x + 2<\/code>.<\/li>\n <li>\u0646\u0639\u0645\u060c \u0644\u0623\u0646 \u0644\u0643\u0644 <code class=\"kbd\">x<\/code> \u0642\u064a\u0645\u0629 <code class=\"kbd\">y<\/code> \u0648\u0627\u062d\u062f\u0629 (\u062c\u0645\u064a\u0639\u0647\u0627 1).<\/li>\n <li><code class=\"kbd\">y = (x + 3)\u00b2 \u2212 4<\/code>.<\/li>\n <li><code class=\"kbd\">x = 2<\/code> \u0648 <code class=\"kbd\">x = 3<\/code>.<\/li>\n <li><code class=\"kbd\">f(3) = 6 \u2212 7 = \u22121<\/code>.<\/li>\n <li>\u0645\u062b\u0644\u0627\u064b <code class=\"kbd\">(0,4)<\/code> \u0648 <code class=\"kbd\">(1,1)<\/code>.<\/li>\n <li><code class=\"kbd\">x_v = \u2212b\/(2a) = \u22124\/(\u22122) = 2<\/code> \u062b\u0645 <code class=\"kbd\">y_v = \u22124 + 8 \u2212 1 = 3<\/code> \u21d2 <code class=\"kbd\">(2,3)<\/code>.<\/li>\n <li>\u0625\u0632\u0627\u062d\u0629 1 \u0648\u062d\u062f\u0629 \u064a\u0633\u0627\u0631\u064b\u0627.<\/li>\n <li><code class=\"kbd\">y(\u22122)=0, y(0)=1, y(2)=2<\/code>.<\/li>\n <li>\u0627\u0644\u0631\u0623\u0633 <code class=\"kbd\">(2,5)<\/code> \u0648\u0627\u0644\u0641\u062a\u062d\u0629 \u0644\u0623\u0639\u0644\u0649 (<code class=\"kbd\">a=3>0<\/code>).<\/li>\n <li><code class=\"kbd\">x = 7<\/code> \u21d2 \u0646\u0642\u0637\u0629 \u0645\u062b\u0644 <code class=\"kbd\">(7,9)<\/code>.<\/li>\n <li>\u0639\u0646\u062f <code class=\"kbd\">x=0<\/code> \u21d2 <code class=\"kbd\">y = \u22129<\/code>.<\/li>\n <li>\u0644\u0627\u060c \u0645\u0637\u0644\u0642\u0629 \u0627\u0644\u0642\u064a\u0645\u0629 \u0644\u064a\u0633\u062a \u062e\u0637\u064b\u0627 \u0645\u0633\u062a\u0642\u064a\u0645\u064b\u0627.<\/li>\n <li>\u0627\u0636\u0645\u062d\u0644\u0627\u0644 \u0644\u0623\u0646 <code class=\"kbd\">0.9 < 1<\/code>.<\/li>\n <li><code class=\"kbd\">\u0394 = 0<\/code> \u21d2 \u062c\u0630\u0631 \u0645\u0643\u0631\u0631 \u0648\u0627\u062d\u062f.<\/li>\n <li><code class=\"kbd\">y = \u22122(x\u00b2 \u2212 6x + 9) + 1 = \u22122x\u00b2 + 12x \u2212 18 + 1 = \u22122x\u00b2 + 12x \u2212 17<\/code>.<\/li>\n <li>\u062d\u0644 <code class=\"kbd\">x + 1 = 0<\/code> \u21d2 <code class=\"kbd\">x = \u22121<\/code>.<\/li>\n <li>\u062a\u0632\u062f\u0627\u062f \u0644\u0640 <code class=\"kbd\">x > 1<\/code> \u0648\u062a\u0646\u0642\u0635 \u0644\u0640 <code class=\"kbd\">x < 1<\/code>.<\/li>\n <li><code class=\"kbd\">C(h) = 5 + 1.5h<\/code>.<\/li>\n <\/ol>\n <\/details>\n <\/section>\n\n <section id=\"mistakes\">\n <h2>\u26a0\ufe0f \u0623\u062e\u0637\u0627\u0621 \u0634\u0627\u0626\u0639\u0629 \u0648\u0643\u064a\u0641 \u062a\u062a\u062c\u0646\u0628\u0647\u0627<\/h2>\n <ul>\n <li>\u0627\u0644\u062e\u0644\u0637 \u0628\u064a\u0646 <code class=\"kbd\">y = f(x) + k<\/code> \u0648 <code class=\"kbd\">y = f(x + k)<\/code> (\u0627\u0644\u0623\u0648\u0644\u0649 \u0625\u0632\u0627\u062d\u0629 \u0639\u0645\u0648\u062f\u064a\u0629\u060c \u0627\u0644\u062b\u0627\u0646\u064a\u0629 \u0623\u0641\u0642\u064a\u0629 \u0639\u0643\u0633 \u0627\u0644\u0625\u0634\u0627\u0631\u0629).<\/li>\n <li>\u0646\u0633\u064a\u0627\u0646 \u0623\u0646 \u0645\u062d\u0648\u0631 \u0627\u0644\u062a\u0645\u0627\u062b\u0644 \u0644\u0644\u062a\u0631\u0628\u064a\u0639\u064a\u0629 \u0641\u064a \u0627\u0644\u0635\u064a\u063a\u0629 \u0627\u0644\u0639\u0627\u0645\u0629 \u0647\u0648 <code class=\"kbd\">x = \u2212b\/(2a)<\/code>.<\/li>\n <li>\u062d\u0633\u0627\u0628 \u0627\u0644\u0645\u064a\u0644 \u0628\u062a\u0631\u062a\u064a\u0628 \u0646\u0642\u0627\u0637 \u062e\u0627\u0637\u0626. \u0627\u0646\u062a\u0628\u0647 \u0644\u0635\u064a\u063a\u0629 <code class=\"kbd\">(y2 \u2212 y1)\/(x2 \u2212 x1)<\/code>.<\/li>\n <li>\u0642\u0631\u0627\u0621\u0629 \u0627\u0644\u0632\u064a\u0627\u062f\u0629\/\u0627\u0644\u0646\u0642\u0635\u0627\u0646 \u0645\u0646 \u0627\u0644\u064a\u0645\u064a\u0646 \u0625\u0644\u0649 \u0627\u0644\u064a\u0633\u0627\u0631 \u0628\u062f\u0644\u0627\u064b \u0645\u0646 \u0627\u0644\u064a\u0633\u0627\u0631 \u0625\u0644\u0649 \u0627\u0644\u064a\u0645\u064a\u0646.<\/li>\n <\/ul>\n <\/section>\n\n <section id=\"study-tips\">\n <h2>\ud83d\udca1 \u062e\u0637\u0629 \u0645\u0630\u0627\u0643\u0631\u0629 \u0648\u0627\u0642\u062a\u0631\u0627\u062d\u0627\u062a<\/h2>\n <div class=\"grid g2\">\n <div class=\"tips\">\n <strong>\u0631\u0648\u062a\u064a\u0646 30 \u062f\u0642\u064a\u0642\u0629:<\/strong>\n <ol>\n <li>10 \u062f\u0642\u0627\u0626\u0642 \u0645\u0631\u0627\u062c\u0639\u0629 \u062e\u0635\u0627\u0626\u0635 \u0627\u0644\u062f\u0648\u0627\u0644.<\/li>\n <li>15 \u062f\u0642\u064a\u0642\u0629 \u062d\u0644 5 \u0645\u0633\u0627\u0626\u0644 \u0645\u062a\u0646\u0648\u0639\u0629 (\u062e\u0637\u064a\/\u062a\u0631\u0628\u064a\u0639\u064a).<\/li>\n <li>5 \u062f\u0642\u0627\u0626\u0642 \u0628\u0646\u0643 \u0627\u0644\u0623\u062e\u0637\u0627\u0621.<\/li>\n <\/ol>\n <\/div>\n <div class=\"note\">\n <strong>\u0623\u0648\u0631\u0627\u0642 \u0639\u0645\u0644:<\/strong> \u0627\u0635\u0646\u0639 \u0648\u0631\u0642\u0629 \u0645\u0646 1\u20132 \u0635\u0641\u062d\u0629 \u0641\u064a\u0647\u0627:\n <ul>\n <li>3 \u0645\u0633\u0627\u0626\u0644 \u0631\u0633\u0645 (\u0646\u0642\u0637\u0629 \u0648\u0645\u064a\u0644 \/ \u0631\u0623\u0633 \u0648\u0645\u062d\u0648\u0631).<\/li>\n <li>3 \u0645\u0633\u0627\u0626\u0644 \u0644\u0641\u0638\u064a\u0629 \u0645\u062e\u062a\u0635\u0631\u0629.<\/li>\n <li>\u0645\u0644\u062e\u0635 \u0642\u0648\u0627\u0646\u064a\u0646 \u0635\u063a\u064a\u0631.<\/li>\n <\/ul>\n <\/div>\n <\/div>\n <div class=\"cta\">\n \u062a\u0644\u0645\u064a\u062d \u0644\u0644\u0646\u0634\u0631 \u0641\u064a \u0648\u0648\u0631\u062f\u0628\u0631\u064a\u0633: \u0627\u062c\u0639\u0644 \u0647\u0630\u0627 \u0627\u0644\u0645\u0642\u0627\u0644 \u062d\u062c\u0631 \u0623\u0633\u0627\u0633\u060c \u062b\u0645 \u0627\u0631\u0628\u0637\u0647 \u0628\u0633\u0644\u0633\u0644\u0629 \u0645\u0642\u0627\u0644\u0627\u062a \u0623\u062e\u0631\u0649 \u0645\u062b\u0644 <span class=\"tag\">\u0627\u0644\u0627\u062d\u062a\u0645\u0627\u0644\u0627\u062a<\/span>\u060c <span class=\"tag\">\u0627\u0644\u0625\u062d\u0635\u0627\u0621<\/span>\u060c <span class=\"tag\">\u0627\u0644\u0647\u0646\u062f\u0633\u0629 \u0627\u0644\u062a\u062d\u0644\u064a\u0644\u064a\u0629<\/span>.\n <\/div>\n <\/section>\n\n <p class=\"foot\">\u00a9 \u0645\u062d\u062a\u0648\u0649 \u062a\u0639\u0644\u064a\u0645\u064a \u0645\u064f\u0639\u062f\u0651 \u0628\u0639\u0646\u0627\u064a\u0629 \u2014 \u0645\u0646\u0627\u0633\u0628 \u0644\u0644\u0646\u0634\u0631 \u0643\u0640 HTML \u0645\u0628\u0627\u0634\u0631\u0629. \u064a\u0645\u0643\u0646\u0643 \u062a\u0639\u062f\u064a\u0644 \u0627\u0644\u0623\u0644\u0648\u0627\u0646 \u0639\u0628\u0631 \u0627\u0644\u0645\u062a\u063a\u064a\u0651\u0631 <code class=\"kbd\">--brand<\/code> \u0625\u0644\u0649 \u0623\u064a \u0642\u064a\u0645\u0629 \u0623\u062e\u0631\u0649.<\/p>\n<\/article>\n<\/body>\n<\/html>\n\n\n\n\n<p><\/p>\n","protected":false},"excerpt":{"rendered":"<p>\u0631\u064a\u0627\u0636\u064a\u0627\u062a \u0627\u0644\u0635\u0641 \u0627\u0644\u0639\u0627\u0634\u0631: \u0627\u0644\u062f\u0648\u0627\u0644 \u0648\u0627\u0644\u062a\u0645\u062b\u064a\u0644 \u0627\u0644\u0628\u064a\u0627\u0646\u064a (\u0634\u0631\u062d + \u0623\u0645\u062b\u0644\u0629 + \u062a\u062f\u0631\u064a\u0628\u0627\u062a) \ud83d\udcd8 \u0631\u064a\u0627\u0636\u064a\u0627\u062a \u0627\u0644\u0635\u0641 \u0627\u0644\u0639\u0627\u0634\u0631: \u0627\u0644\u062f\u0648\u0627\u0644 \u0648\u0627\u0644\u062a\u0645\u062b\u064a\u0644 \u0627\u0644\u0628\u064a\u0627\u0646\u064a \u0634\u0631\u062d + \u0623\u0645\u062b\u0644\u0629 + \u062a\u062f\u0631\u064a\u0628\u0627\u062a \u0647\u0630\u0627 \u0627\u0644\u062f\u0631\u0633 \u0627\u0644\u0634\u0627\u0645\u0644 \u064a\u0636\u0639\u0643 \u0639\u0644\u0649 \u0627\u0644\u0637\u0631\u064a\u0642 \u0627\u0644\u0635\u062d\u064a\u062d \u0644\u0641\u0647\u0645 \u0627\u0644\u062f\u0648\u0627\u0644 \u0628\u0623\u0646\u0648\u0627\u0639\u0647\u0627 (\u0627\u0644\u062e\u0637\u064a\u0629 \u0648\u0627\u0644\u062a\u0631\u0628\u064a\u0639\u064a\u0629 \u0648\u0644\u0645\u062d\u0629 \u0639\u0646 \u0627\u0644\u0623\u0633\u064a\u0629) \u0648\u0643\u064a\u0641\u064a\u0629 \u062a\u0645\u062b\u064a\u0644\u0647\u0627 \u0648\u0642\u0631\u0627\u0621\u0629 \u062e\u0635\u0627\u0626\u0635\u0647\u0627 \u0645\u0646 \u0627\u0644\u0631\u0633\u0645. \u0641\u0647\u0631\u0633 \u0627\u0644\u0645\u062d\u062a\u0648\u064a\u0627\u062a \ud83c\udfaf \u0623\u0647\u062f\u0627\u0641 \u0627\u0644\u062a\u0639\u0644\u0651\u0645 \u0648\u0627\u0644\u0645\u062a\u0637\u0644\u0628\u0627\u062a \u0627\u0644\u0645\u0633\u0628\u0642\u0629 \ud83d\udcd0 \u0645\u0627 \u0647\u064a \u0627\u0644\u062f\u0627\u0644\u0629\u061f […]<\/p>\n","protected":false},"author":1,"featured_media":8895,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[840],"tags":[],"class_list":["post-8887","post","type-post","status-publish","format-standard","has-post-thumbnail","hentry","category-computer"],"_links":{"self":[{"href":"https:\/\/afedne.info\/index.php?rest_route=\/wp\/v2\/posts\/8887","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/afedne.info\/index.php?rest_route=\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/afedne.info\/index.php?rest_route=\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/afedne.info\/index.php?rest_route=\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/afedne.info\/index.php?rest_route=%2Fwp%2Fv2%2Fcomments&post=8887"}],"version-history":[{"count":1,"href":"https:\/\/afedne.info\/index.php?rest_route=\/wp\/v2\/posts\/8887\/revisions"}],"predecessor-version":[{"id":8888,"href":"https:\/\/afedne.info\/index.php?rest_route=\/wp\/v2\/posts\/8887\/revisions\/8888"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/afedne.info\/index.php?rest_route=\/wp\/v2\/media\/8895"}],"wp:attachment":[{"href":"https:\/\/afedne.info\/index.php?rest_route=%2Fwp%2Fv2%2Fmedia&parent=8887"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/afedne.info\/index.php?rest_route=%2Fwp%2Fv2%2Fcategories&post=8887"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/afedne.info\/index.php?rest_route=%2Fwp%2Fv2%2Ftags&post=8887"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}