{"id":392,"date":"2024-04-18T12:37:30","date_gmt":"2024-04-18T12:37:30","guid":{"rendered":"https:\/\/gbelentzas.sites.sch.gr\/?p=392"},"modified":"2024-04-22T12:39:15","modified_gmt":"2024-04-22T12:39:15","slug":"%ce%b3%cf%81%ce%b1%cf%86%ce%b9%ce%ba%ce%ae-%cf%80%ce%b1%cf%81%ce%ac%cf%83%cf%84%ce%b1%cf%83%ce%b7-%cf%83%cf%85%ce%bd%ce%ac%cf%81%cf%84%ce%b7%cf%83%ce%b7%cf%82","status":"publish","type":"post","link":"https:\/\/gbelentzas.sites.sch.gr\/?p=392","title":{"rendered":"\u0393\u03c1\u03b1\u03c6\u03b9\u03ba\u03ae \u03c0\u03b1\u03c1\u03ac\u03c3\u03c4\u03b1\u03c3\u03b7 \u03c3\u03c5\u03bd\u03ac\u03c1\u03c4\u03b7\u03c3\u03b7\u03c2"},"content":{"rendered":"

\n

\n

<\/i> Math How-To Guide<\/strong><\/em><\/span><\/h4>\n<\/div>\n

\u039d\u03b1 \u03b3\u03af\u03bd\u03b5\u03b9 \u03b7 \u03b3\u03c1\u03b1\u03c6\u03b9\u03ba\u03ae \u03c0\u03b1\u03c1\u03ac\u03c3\u03c4\u03b1\u03c3\u03b7 \u03c4\u03b7\u03c2 \u03c3\u03c5\u03bd\u03ac\u03c1\u03c4\u03b7\u03c3\u03b7\u03c2\u00a0\"\textcolor{blue}{y=x^2-1}\"<\/span><\/p>\n

\n
\u0398\u03b1 \u03c6\u03c4\u03b9\u03ac\u03be\u03bf\u03c5\u03bc\u03b5 \u03ad\u03bd\u03b1\u03bd \u03c0\u03af\u03bd\u03b1\u03ba\u03b1 \u03c4\u03b9\u03bc\u03ce\u03bd \u03c4\u03b7\u03c2 \u03c3\u03c5\u03bd\u03ac\u03c1\u03c4\u03b7\u03c3\u03b7\u03c2 \"y=x^2-1\"<\/div>\n
\n
    \n
  • \u0393\u03b9\u03b1 \"x=-3,\" \u03ad\u03c7\u03bf\u03c5\u03bc\u03b5 \"y=(-3)^2-1=9-1=8\"<\/li>\n
  • \u0393\u03b9\u03b1 \"x=-2,\" \u03ad\u03c7\u03bf\u03c5\u03bc\u03b5 \"y=(-2)^2-1=4-1=3\"<\/li>\n
  • \u0393\u03b9\u03b1 \"x=-1,\" \u03ad\u03c7\u03bf\u03c5\u03bc\u03b5 \"y=(-1)^2-1=1-1=0\"<\/li>\n
  • \u0393\u03b9\u03b1 \"x=0,\" \u03ad\u03c7\u03bf\u03c5\u03bc\u03b5 \"y=0^2-1=0-1=-1\"<\/li>\n
  • \u0393\u03b9\u03b1 \"x=1,\" \u03ad\u03c7\u03bf\u03c5\u03bc\u03b5 \"y=1^2-1=1-1=0\"<\/li>\n
  • \u0393\u03b9\u03b1 \"x=2,\" \u03ad\u03c7\u03bf\u03c5\u03bc\u03b5 \"y=2^2-1=4-1=3\"<\/li>\n
  • \u0393\u03b9\u03b1 \"x=3,\" \u03ad\u03c7\u03bf\u03c5\u03bc\u03b5 \"y=3^2-1=9-1=8\"<\/li>\n<\/ul>\n<\/div>\n
    \u0395\u03c0\u03bf\u03bc\u03ad\u03bd\u03c9\u03c2, \u03c0\u03c1\u03bf\u03ba\u03cd\u03c0\u03c4\u03b5\u03b9 \u03bf \u03c0\u03b1\u03c1\u03b1\u03ba\u03ac\u03c4\u03c9 \u03c0\u03af\u03bd\u03b1\u03ba\u03b1\u03c2 \u03c4\u03b9\u03bc\u03ce\u03bd:<\/div>\n<\/div>\n

    \"\"<\/p>\n

    \u03a3\u03c4\u03b7 \u03c3\u03c5\u03bd\u03ad\u03c7\u03b5\u03b9\u03b1, \u03c4\u03bf\u03c0\u03bf\u03b8\u03b5\u03c4\u03bf\u03cd\u03bc\u03b5 \u03c3\u03b5 \u03ad\u03bd\u03b1 \u03c3\u03cd\u03c3\u03c4\u03b7\u03bc\u03b1 \u03b1\u03be\u03cc\u03bd\u03c9\u03bd xOy \u03c4\u03b1 \u03c3\u03b7\u03bc\u03b5\u03af\u03b1 \u03bc\u03b5 \u03c3\u03c5\u03bd\u03c4\u03b5\u03c4\u03b1\u03b3\u03bc\u03ad\u03bd\u03b5\u03c2 (x,y) \u03c0\u03bf\u03c5 \u03b2\u03c1\u03ae\u03ba\u03b1\u03bc\u03b5 \u03c3\u03c4\u03bf\u03bd \u03c0\u03b1\u03c1\u03b1\u03c0\u03ac\u03bd\u03c9 \u03c0\u03af\u03bd\u03b1\u03ba\u03b1. \u0394\u03b7\u03bb\u03b1\u03b4\u03ae \u03c4\u03b1 \u03c3\u03b7\u03bc\u03b5\u03af\u03b1:\u00a0<\/span><\/p>\n

    \u0391(-3, 8), \u0392(-2 ,3), \u0393(-1 ,0) , \u0394(0,-1), \u0395(1,0), \u0396(2,3) \u03ba\u03b1\u03b9 \u0397(3,8).<\/p>\n

    \u0397 \u03b3\u03c1\u03b1\u03c6\u03b9\u03ba\u03ae \u03c0\u03b1\u03c1\u03ac\u03c3\u03c4\u03b1\u03c3\u03b7 \u03b8\u03b1 \u03c0\u03c1\u03bf\u03ba\u03cd\u03c8\u03b5\u03b9 \u03b1\u03bd \u03b5\u03bd\u03ce\u03c3\u03bf\u03c5\u03bc\u03b5 \u03c4\u03b1 \u03c3\u03b7\u03bc\u03b5\u03af\u03b1 \u03b1\u03c5\u03c4\u03ac. \u03bf\u03c0\u03cc\u03c4\u03b5 \u03b8\u03b1 \u03c3\u03c7\u03b7\u03bc\u03b1\u03c4\u03b9\u03c3\u03c4\u03b5\u03af \u03b7 \u03c0\u03b1\u03c1\u03b1\u03ba\u03ac\u03c4\u03c9 \u03ba\u03b1\u03bc\u03c0\u03cd\u03bb\u03b7.<\/span><\/p>\n

    \"Rendered<\/p>\n

    \n
    \n
    <\/i> \u03a3\u03b7\u03bc\u03b5\u03b9\u03ce\u03c3\u03b5\u03b9\u03c2 \u0398\u03b5\u03c9\u03c1\u03af\u03b1\u03c2<\/strong><\/em><\/span><\/div>\n<\/div>\n

    \u0393\u03b9\u03b1 \u03c4\u03b7 \u03c7\u03ac\u03c1\u03b1\u03be\u03b7 \u03c4\u03b7\u03c2 \u03b3\u03c1\u03b1\u03c6\u03b9\u03ba\u03ae\u03c2 \u03c0\u03b1\u03c1\u03ac\u03c3\u03c4\u03b1\u03c3\u03b7\u03c2 \u03bc\u03b9\u03b1\u03c2 \u03c3\u03c5\u03bd\u03ac\u03c1\u03c4\u03b7\u03c3\u03b7\u03c2 \u03b1\u03ba\u03bf\u03bb\u03bf\u03c5\u03b8\u03bf\u03cd\u03bc\u03b5 \u03c4\u03b1 \u03c0\u03b1\u03c1\u03b1\u03ba\u03ac\u03c4\u03c9 \u03b2\u03ae\u03bc\u03b1\u03c4\u03b1:<\/p>\n

      \n
    • \u03a6\u03c4\u03b9\u03ac\u03c7\u03bd\u03bf\u03c5\u03bc\u03b5 \u03c0\u03af\u03bd\u03b1\u03ba\u03b1 \u03c4\u03b9\u03bc\u03ce\u03bd \u03c4\u03b7\u03c2 \u03c3\u03c5\u03bd\u03ac\u03c1\u03c4\u03b7\u03c3\u03b7\u03c2.<\/li>\n
    • \u03a4\u03bf\u03c0\u03bf\u03b8\u03b5\u03c4\u03bf\u03cd\u03bc\u03b5 \u03c3\u03b5 \u03ad\u03bd\u03b1 \u03c3\u03cd\u03c3\u03c4\u03b7\u03bc\u03b1 \u03b1\u03be\u03cc\u03bd\u03c9\u03bd xOy \u03c4\u03b1 \u03c3\u03b7\u03bc\u03b5\u03af\u03b1 \u03bc\u03b5 \u03c3\u03c5\u03bd\u03c4\u03b5\u03c4\u03b1\u03b3\u03bc\u03ad\u03bd\u03b5\u03c2 (x,y) \u03c0\u03bf\u03c5 \u03b2\u03c1\u03ae\u03ba\u03b1\u03bc\u03b5 \u03c3\u03c4\u03bf\u03bd \u03c0\u03af\u03bd\u03b1\u03ba\u03b1.<\/li>\n
    • \u0391\u03ba\u03bf\u03bb\u03bf\u03cd\u03b8\u03c9\u03c2, \u03b5\u03bd\u03ce\u03bd\u03bf\u03bd\u03c4\u03b1\u03c2 \u03c4\u03b1 \u03c3\u03b7\u03bc\u03b5\u03af\u03b1 \u03c0\u03c1\u03bf\u03ba\u03cd\u03c0\u03c4\u03b5\u03b9 \u03b7 \u03b3\u03c1\u03b1\u03bc\u03bc\u03ae \u03c0\u03bf\u03c5 \u03bc\u03b1\u03c2 \u03b4\u03af\u03bd\u03b5\u03b9 \u03c4\u03b7 \u03b3\u03c1\u03b1\u03c6\u03b9\u03ba\u03ae \u03c0\u03b1\u03c1\u03ac\u03c3\u03c4\u03b1\u03c3\u03b7.<\/li>\n<\/ul>\n
      \n
      \n
      <\/i> Let’s practice<\/strong><\/em><\/span><\/div>\n
      \u0391\u03c3\u03ba1.<\/strong> \u039d\u03b1 \u03b3\u03af\u03bd\u03b5\u03b9 \u03b7 \u03b3\u03c1\u03b1\u03c6\u03b9\u03ba\u03ae \u03c0\u03b1\u03c1\u03ac\u03c3\u03c4\u03b1\u03c3\u03b7 \u03c4\u03b7\u03c2 \u03c3\u03c5\u03bd\u03ac\u03c1\u03c4\u03b7\u03c3\u03b7\u03c2 \"y=-x^2\".<\/span><\/div>\n
      \u0391\u03c3\u03ba2.<\/strong> \u039d\u03b1 \u03b3\u03af\u03bd\u03b5\u03b9 \u03b7 \u03b3\u03c1\u03b1\u03c6\u03b9\u03ba\u03ae \u03c0\u03b1\u03c1\u03ac\u03c3\u03c4\u03b1\u03c3\u03b7 \u03c4\u03b7\u03c2 \u03c3\u03c5\u03bd\u03ac\u03c1\u03c4\u03b7\u03c3\u03b7\u03c2 \"y=x^2+5\".<\/span><\/div>\n
      \u0391\u03c3\u03ba1.<\/strong> \u039d\u03b1 \u03b3\u03af\u03bd\u03b5\u03b9 \u03b7 \u03b3\u03c1\u03b1\u03c6\u03b9\u03ba\u03ae \u03c0\u03b1\u03c1\u03ac\u03c3\u03c4\u03b1\u03c3\u03b7 \u03c4\u03b7\u03c2 \u03c3\u03c5\u03bd\u03ac\u03c1\u03c4\u03b7\u03c3\u03b7\u03c2 \"y=-x^2-1\".<\/span><\/div>\n<\/div>\n","protected":false},"excerpt":{"rendered":"

      Math How-To Guide \u039d\u03b1 \u03b3\u03af\u03bd\u03b5\u03b9 \u03b7 \u03b3\u03c1\u03b1\u03c6\u03b9\u03ba\u03ae \u03c0\u03b1\u03c1\u03ac\u03c3\u03c4\u03b1\u03c3\u03b7 \u03c4\u03b7\u03c2 \u03c3\u03c5\u03bd\u03ac\u03c1\u03c4\u03b7\u03c3\u03b7\u03c2\u00a0 \u0398\u03b1 \u03c6\u03c4\u03b9\u03ac\u03be\u03bf\u03c5\u03bc\u03b5 \u03ad\u03bd\u03b1\u03bd \u03c0\u03af\u03bd\u03b1\u03ba\u03b1 \u03c4\u03b9\u03bc\u03ce\u03bd \u03c4\u03b7\u03c2 \u03c3\u03c5\u03bd\u03ac\u03c1\u03c4\u03b7\u03c3\u03b7\u03c2 \u0393\u03b9\u03b1 \u03ad\u03c7\u03bf\u03c5\u03bc\u03b5 \u0393\u03b9\u03b1 \u03ad\u03c7\u03bf\u03c5\u03bc\u03b5 \u0393\u03b9\u03b1 \u03ad\u03c7\u03bf\u03c5\u03bc\u03b5 \u0393\u03b9\u03b1 \u03ad\u03c7\u03bf\u03c5\u03bc\u03b5 \u0393\u03b9\u03b1 \u03ad\u03c7\u03bf\u03c5\u03bc\u03b5 \u0393\u03b9\u03b1 \u03ad\u03c7\u03bf\u03c5\u03bc\u03b5 \u0393\u03b9\u03b1 \u03ad\u03c7\u03bf\u03c5\u03bc\u03b5 \u0395\u03c0\u03bf\u03bc\u03ad\u03bd\u03c9\u03c2, \u03c0\u03c1\u03bf\u03ba\u03cd\u03c0\u03c4\u03b5\u03b9 \u03bf \u03c0\u03b1\u03c1\u03b1\u03ba\u03ac\u03c4\u03c9 \u03c0\u03af\u03bd\u03b1\u03ba\u03b1\u03c2 \u03c4\u03b9\u03bc\u03ce\u03bd: \u03a3\u03c4\u03b7 \u03c3\u03c5\u03bd\u03ad\u03c7\u03b5\u03b9\u03b1, \u03c4\u03bf\u03c0\u03bf\u03b8\u03b5\u03c4\u03bf\u03cd\u03bc\u03b5 \u03c3\u03b5 \u03ad\u03bd\u03b1 \u03c3\u03cd\u03c3\u03c4\u03b7\u03bc\u03b1 \u03b1\u03be\u03cc\u03bd\u03c9\u03bd xOy \u03c4\u03b1 \u03c3\u03b7\u03bc\u03b5\u03af\u03b1 \u03bc\u03b5 \u03c3\u03c5\u03bd\u03c4\u03b5\u03c4\u03b1\u03b3\u03bc\u03ad\u03bd\u03b5\u03c2 (x,y)…<\/p>\n","protected":false},"author":3,"featured_media":394,"comment_status":"open","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[11],"tags":[],"class_list":["post-392","post","type-post","status-publish","format-standard","has-post-thumbnail","hentry","category-11"],"featured_image_src":"https:\/\/gbelentzas.sites.sch.gr\/wp-content\/uploads\/2024\/04\/img_graph_ai.jpg","author_info":{"display_name":"Gvel School","author_link":"https:\/\/gbelentzas.sites.sch.gr\/?author=3"},"yoast_head":"\n\u0393\u03c1\u03b1\u03c6\u03b9\u03ba\u03ae \u03c0\u03b1\u03c1\u03ac\u03c3\u03c4\u03b1\u03c3\u03b7 \u03c3\u03c5\u03bd\u03ac\u03c1\u03c4\u03b7\u03c3\u03b7\u03c2 - MathsEdu.gr<\/title>\n<meta name=\"robots\" content=\"index, follow, max-snippet:-1, max-image-preview:large, max-video-preview:-1\" \/>\n<link rel=\"canonical\" href=\"https:\/\/gbelentzas.sites.sch.gr\/?p=392\" \/>\n<meta property=\"og:locale\" content=\"el_GR\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"\u0393\u03c1\u03b1\u03c6\u03b9\u03ba\u03ae \u03c0\u03b1\u03c1\u03ac\u03c3\u03c4\u03b1\u03c3\u03b7 \u03c3\u03c5\u03bd\u03ac\u03c1\u03c4\u03b7\u03c3\u03b7\u03c2 - MathsEdu.gr\" \/>\n<meta property=\"og:description\" content=\"Math How-To Guide \u039d\u03b1 \u03b3\u03af\u03bd\u03b5\u03b9 \u03b7 \u03b3\u03c1\u03b1\u03c6\u03b9\u03ba\u03ae \u03c0\u03b1\u03c1\u03ac\u03c3\u03c4\u03b1\u03c3\u03b7 \u03c4\u03b7\u03c2 \u03c3\u03c5\u03bd\u03ac\u03c1\u03c4\u03b7\u03c3\u03b7\u03c2\u00a0 \u0398\u03b1 \u03c6\u03c4\u03b9\u03ac\u03be\u03bf\u03c5\u03bc\u03b5 \u03ad\u03bd\u03b1\u03bd \u03c0\u03af\u03bd\u03b1\u03ba\u03b1 \u03c4\u03b9\u03bc\u03ce\u03bd \u03c4\u03b7\u03c2 \u03c3\u03c5\u03bd\u03ac\u03c1\u03c4\u03b7\u03c3\u03b7\u03c2 \u0393\u03b9\u03b1 \u03ad\u03c7\u03bf\u03c5\u03bc\u03b5 \u0393\u03b9\u03b1 \u03ad\u03c7\u03bf\u03c5\u03bc\u03b5 \u0393\u03b9\u03b1 \u03ad\u03c7\u03bf\u03c5\u03bc\u03b5 \u0393\u03b9\u03b1 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