{"id":1368,"date":"2011-05-18T13:21:52","date_gmt":"2011-05-18T20:21:52","guid":{"rendered":"http:\/\/qpr.ca\/blogs\/?p=1368"},"modified":"2011-05-18T13:21:52","modified_gmt":"2011-05-18T20:21:52","slug":"how-to-find-the-equation-of-a-quadratic-function-from-its-graph-squarecirclez","status":"publish","type":"post","link":"https:\/\/qpr.ca\/blogs\/2011\/05\/18\/how-to-find-the-equation-of-a-quadratic-function-from-its-graph-squarecirclez\/","title":{"rendered":"How to find the equation of a quadratic function from its graph :: squareCircleZ"},"content":{"rendered":"<div style=\"background-image: initial; background-attachment: initial; background-origin: initial; background-clip: initial; background-color: #ffffff; font: normal normal normal 13px\/19px Georgia, 'Times New Roman', 'Bitstream Charter', Times, serif; font-family: 'Times New Roman'; line-height: normal; font-size: medium; padding: 0.6em; margin: 0px;\">\n<p>Murray Bourne of squareCircleZ has posted on\u00a0<a href=\"http:\/\/www.squarecirclez.com\/blog\/how-to-find-the-equation-of-a-quadratic-function-from-its-graph\/6070\">&#8216;How to find the equation of a quadratic function from its graph<\/a>&#8216;. This is indeed the type of discussion and exercise that we need to see more of. \u00a0Not only does it promote a deeper understanding of the mathematics than the reverse but it is also relevant to more practical applications. Occasionally we do come up with a formula and want to see what it looks like but, especially when it comes to specific examples as opposed to general patterns, it is more often that we have data and want to find or verify a formula. \u00a0One of the activities in my own \u201cBlue Meanies\u201d game (at\u00a0<a rel=\"nofollow\" href=\"http:\/\/qpr.ca\/math\/applets\/meanies\/\">http:\/\/qpr.ca\/math\/applets\/meanies\/<\/a> )asks students to \u201cguess\u201d the equation of a parabola through three points by imagining the curve and using its geometry (in various ways) to determine the equation. Of course in such &#8220;modelling&#8221; problems, with limited data there will be many possible model types that can be used, and there is an interesting interplay between fitting with a particular class of functions (eg polynomial or exponential) and giving reasons why one or other such class might be more appropriate in a given situation.<\/p>\n<\/div>\n","protected":false},"excerpt":{"rendered":"<p>Murray Bourne of squareCircleZ has posted on\u00a0&#8216;How to find the equation of a quadratic function from its graph&#8216;. This is indeed the type of discussion and exercise that we need to see more of. \u00a0Not only does it promote a &hellip; <a href=\"https:\/\/qpr.ca\/blogs\/2011\/05\/18\/how-to-find-the-equation-of-a-quadratic-function-from-its-graph-squarecirclez\/\">Continue reading <span class=\"meta-nav\">&rarr;<\/span><\/a><\/p>\n","protected":false},"author":2,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[1],"tags":[],"class_list":["post-1368","post","type-post","status-publish","format-standard","hentry","category-general"],"_links":{"self":[{"href":"https:\/\/qpr.ca\/blogs\/wp-json\/wp\/v2\/posts\/1368","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/qpr.ca\/blogs\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/qpr.ca\/blogs\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/qpr.ca\/blogs\/wp-json\/wp\/v2\/users\/2"}],"replies":[{"embeddable":true,"href":"https:\/\/qpr.ca\/blogs\/wp-json\/wp\/v2\/comments?post=1368"}],"version-history":[{"count":1,"href":"https:\/\/qpr.ca\/blogs\/wp-json\/wp\/v2\/posts\/1368\/revisions"}],"predecessor-version":[{"id":1369,"href":"https:\/\/qpr.ca\/blogs\/wp-json\/wp\/v2\/posts\/1368\/revisions\/1369"}],"wp:attachment":[{"href":"https:\/\/qpr.ca\/blogs\/wp-json\/wp\/v2\/media?parent=1368"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/qpr.ca\/blogs\/wp-json\/wp\/v2\/categories?post=1368"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/qpr.ca\/blogs\/wp-json\/wp\/v2\/tags?post=1368"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}