{"id":186,"date":"2014-12-08T01:20:45","date_gmt":"2014-12-08T01:20:45","guid":{"rendered":"https:\/\/purple-mathbelt.marjoriesayer.com\/?p=186"},"modified":"2014-12-08T17:25:26","modified_gmt":"2014-12-08T17:25:26","slug":"week-5-transformations-day-3","status":"publish","type":"post","link":"https:\/\/purple-mathbelt.marjoriesayer.com\/?p=186","title":{"rendered":"Week 5: Transformations &#8211; Day 3"},"content":{"rendered":"<p>Horizontal Function Shifts<\/p>\n<p>The graph of a function is shifted horizontally by a if you replace x by &#8220;x &#8211; a&#8221;.<\/p>\n<p>What is the formula of the function with the given horizontal shift?<\/p>\n<p>1. The function g(x) is obtained from f(x) = |x| by shifting to the right 5 units.<\/p>\n<p>What is the formula for g(x)?<\/p>\n<p>2. g(x) is obtained from f(x) = x<sup>3<\/sup> by shifting to the left 1 unit.<\/p>\n<p>What is the formula for g(x)?<\/p>\n<p>3. g(x) is obtained from f(x) = x<sup>2<\/sup> &#8211; 7x + 1 by shifting to the right 3 units.<\/p>\n<p>What is the formula for g(x)?<\/p>\n<p>4. g(x) is obtained from f(x) = (x &#8211; 10)<sup>4<\/sup> + 9 by shifting to the left 2 units.<\/p>\n<p>What is the formula for g(x)?<\/p>\n<p>5. g(x) is obtained from f(x) = |x &#8211; 3| + x by shifting to the right by 1 unit.<\/p>\n<p>What is the formula for g(x)?<\/p>\n<p><a title=\"Week 5: Transformations \u2013 Answers\" href=\"https:\/\/purple-mathbelt.marjoriesayer.com\/?page_id=167\">Answers<\/a><\/p>\n","protected":false},"excerpt":{"rendered":"<p>Horizontal Function Shifts The graph of a function is shifted horizontally by a if you replace x by &#8220;x &#8211; a&#8221;. What is the formula of the function with the given horizontal shift? 1. The function g(x) is obtained from f(x) = |x| by shifting to the right 5 units. What is the formula for [&hellip;]<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"closed","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[10,14],"tags":[],"class_list":["post-186","post","type-post","status-publish","format-standard","hentry","category-functions","category-geometry"],"_links":{"self":[{"href":"https:\/\/purple-mathbelt.marjoriesayer.com\/index.php?rest_route=\/wp\/v2\/posts\/186","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/purple-mathbelt.marjoriesayer.com\/index.php?rest_route=\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/purple-mathbelt.marjoriesayer.com\/index.php?rest_route=\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/purple-mathbelt.marjoriesayer.com\/index.php?rest_route=\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/purple-mathbelt.marjoriesayer.com\/index.php?rest_route=%2Fwp%2Fv2%2Fcomments&post=186"}],"version-history":[{"count":1,"href":"https:\/\/purple-mathbelt.marjoriesayer.com\/index.php?rest_route=\/wp\/v2\/posts\/186\/revisions"}],"predecessor-version":[{"id":187,"href":"https:\/\/purple-mathbelt.marjoriesayer.com\/index.php?rest_route=\/wp\/v2\/posts\/186\/revisions\/187"}],"wp:attachment":[{"href":"https:\/\/purple-mathbelt.marjoriesayer.com\/index.php?rest_route=%2Fwp%2Fv2%2Fmedia&parent=186"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/purple-mathbelt.marjoriesayer.com\/index.php?rest_route=%2Fwp%2Fv2%2Fcategories&post=186"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/purple-mathbelt.marjoriesayer.com\/index.php?rest_route=%2Fwp%2Fv2%2Ftags&post=186"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}