The vertical stretch by 2 then the vertical shift up by 3 The vertical shift up by 3 then the vertical stretch by 2 Reflect Are the resulting graphs the same Does the order in which we apply the graph transformations matter This phenomenon is sometimes called the Socks then shoes vs Shoes then socks problem In this last step we are going to go back to our first reflection We asked the question Are vertical stretches shrinks and horizontal stretches shrinks basically the same thing Yes that s right we re asking the first question again This time apply the following sequence of transformations to your chosen function f x Graph Transformations f x x2 The vertical stretch by 4 then a vertical shift by 2 A horizontal shrink by 2 and then a vertical shift by 2 A vertical shift by 2 then a vertical stretch by 4 A vertical shift by 2 then a horizontal shrink by 2 Reflect Compare and contrast the results of all transformation sequences Are there any changes to