{"id":178,"date":"2014-11-21T02:58:59","date_gmt":"2014-11-21T02:58:59","guid":{"rendered":"https:\/\/purple-mathbelt.marjoriesayer.com\/?p=178"},"modified":"2014-12-08T17:25:16","modified_gmt":"2014-12-08T17:25:16","slug":"week-5-transformations-day-2","status":"publish","type":"post","link":"https:\/\/purple-mathbelt.marjoriesayer.com\/?p=178","title":{"rendered":"Week 5: Transformations &#8211; Day 2"},"content":{"rendered":"<p>Transformations and functions: vertical\u00a0shift<\/p>\n<p>The graph of a function y = f(x) is vertically\u00a0shifted H\u00a0units\u00a0up when you add H to the function.<\/p>\n<p>For example, if f(x) = x<sup>2<\/sup> and g(x) = x<sup>2<\/sup> + 1, then the graph of g(x) is the same as the graph of f(x), shifted up one unit.<\/p>\n<p>Rewrite the following functions with the indicated shift. Check the graphs with a graphing program such as desmos.com:<\/p>\n<p>1. Shift up 2 units: f(x) = 2x &#8211; 4<\/p>\n<p>2. Shift down 3 units: f(x) = 4x<sup>3<\/sup><\/p>\n<p>3. Shift up 10 units: f(x) = sqrt(x) (f(x) = square root of x).<\/p>\n<p>4. Shift up 5 units: f(x) = 1\/x<\/p>\n<p>5. Shift down 100 units: f(x) = x<sup>1.5<\/sup><\/p>\n<p>Answers<\/p>\n","protected":false},"excerpt":{"rendered":"<p>Transformations and functions: vertical\u00a0shift The graph of a function y = f(x) is vertically\u00a0shifted H\u00a0units\u00a0up when you add H to the function. For example, if f(x) = x2 and g(x) = x2 + 1, then the graph of g(x) is the same as the graph of f(x), shifted up one unit. Rewrite the following functions [&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-178","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\/178","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=178"}],"version-history":[{"count":1,"href":"https:\/\/purple-mathbelt.marjoriesayer.com\/index.php?rest_route=\/wp\/v2\/posts\/178\/revisions"}],"predecessor-version":[{"id":179,"href":"https:\/\/purple-mathbelt.marjoriesayer.com\/index.php?rest_route=\/wp\/v2\/posts\/178\/revisions\/179"}],"wp:attachment":[{"href":"https:\/\/purple-mathbelt.marjoriesayer.com\/index.php?rest_route=%2Fwp%2Fv2%2Fmedia&parent=178"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/purple-mathbelt.marjoriesayer.com\/index.php?rest_route=%2Fwp%2Fv2%2Fcategories&post=178"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/purple-mathbelt.marjoriesayer.com\/index.php?rest_route=%2Fwp%2Fv2%2Ftags&post=178"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}