{"id":189,"date":"2014-12-08T17:31:13","date_gmt":"2014-12-08T17:31:13","guid":{"rendered":"https:\/\/purple-mathbelt.marjoriesayer.com\/?p=189"},"modified":"2014-12-09T03:59:31","modified_gmt":"2014-12-09T03:59:31","slug":"week-5-transformations-day-4","status":"publish","type":"post","link":"https:\/\/purple-mathbelt.marjoriesayer.com\/?p=189","title":{"rendered":"Week 5: Transformations &#8211; Day 4"},"content":{"rendered":"<p>Reflections in the y-axis<\/p>\n<p>If f(x) is a function, the function g(x) = f(-x) is the reflection of f in the y-axis. In all of the problems below, g(x) = f(-x).<\/p>\n<p>1. If f(x) = x &#8211; 1, what is the formula for g(x)? Sketch the graphs of f and g on the same set of axes.<\/p>\n<p>2.\u00a0If f(x) = |x &#8211; 1|, what is the formula for g(x)? Sketch the graphs of f and g on the same set of axes.<\/p>\n<p>3.\u00a0If f(x) = x<sup>2<\/sup> + 1, what is the formula for g(x)? Sketch the graphs of f and g on the same set of axes.<\/p>\n<p>4. If f(x) = -(x &#8211; 1)<sup>2<\/sup>, what is the formula for g(x)? Sketch the graphs of f and g on the same set of axes.<\/p>\n<p>5. If f(x) = |x + 2|, what is the formula for g(x)? Sketch the graphs of f and g on the same set of axes.<\/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>Reflections in the y-axis If f(x) is a function, the function g(x) = f(-x) is the reflection of f in the y-axis. In all of the problems below, g(x) = f(-x). 1. If f(x) = x &#8211; 1, what is the formula for g(x)? Sketch the graphs of f and g on the same set [&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-189","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\/189","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=189"}],"version-history":[{"count":1,"href":"https:\/\/purple-mathbelt.marjoriesayer.com\/index.php?rest_route=\/wp\/v2\/posts\/189\/revisions"}],"predecessor-version":[{"id":190,"href":"https:\/\/purple-mathbelt.marjoriesayer.com\/index.php?rest_route=\/wp\/v2\/posts\/189\/revisions\/190"}],"wp:attachment":[{"href":"https:\/\/purple-mathbelt.marjoriesayer.com\/index.php?rest_route=%2Fwp%2Fv2%2Fmedia&parent=189"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/purple-mathbelt.marjoriesayer.com\/index.php?rest_route=%2Fwp%2Fv2%2Fcategories&post=189"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/purple-mathbelt.marjoriesayer.com\/index.php?rest_route=%2Fwp%2Fv2%2Ftags&post=189"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}