Transformationss

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The document discusses solving homework problems involving graph transformations. It explains how to graph the absolute value of a function f(x) shifted down by 2 units. It then asks the reader to sketch the function y = -2f(1/2x – 2) + 3, identifying that the transformations occur in this order: 1) vertical stretch by a factor of -2, 2) horizontal compression by a factor of 1/2, 3) horizontal shift of -4 units, and 4) vertical shift of +3 units. The resulting graph is shown with the transformed coordinates.

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Homework Dilemma.. Captain Jabbamathee to the rescue! homework – by flickr user bjortklingd

Question #1 ,[object Object],[object Object]

Step 1: Absolute Value ,[object Object],[object Object]

Step 2: Transformation ,[object Object],[object Object]

Question #2 ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],-2 ½ -4 3

[object Object],[object Object],[object Object],[object Object],(-2,0) (-1, 2) (0, 0) (2, 0) (2, 2) (3, 2) (-4, 0) (-2, -4) (0, 0) (4, 0) (4, -4) (6, -4)

[object Object],[object Object],[object Object],[object Object],(-4, 0) (-2, -4) (0, 0) (4, 0) (4, -4) (6, -4) ( 0, 3) (2, -1) (4, 3) (8, 3) (8, -1) (10, -1) *note: remember stretches before translations*

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