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Pearson Algebra 2 Common Core, 2011

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Pearson Algebra 2 Common Core, 2011 View details

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Exercise 7 Page 191

Be sure to think about the horizontal transformations before you think about any vertical transformations. Work from the inside to the outside.

A horizontal translation 4 units to the right and a vertical translation 2 units up.

Practice makes perfect

We are given the following absolute value equation. y=|x-4|+2 This is a transformation of the parent function y=|x|. We can look at each of the translations individually and work our way from the inside to the outside. We will define each transformation, starting with the one which is closest to x and end with the farthest from x.

Horizontal Translation

First we have a horizontal translation 4 units to the right. As a result, |x| becomes |x-4|.

Vertical Translation

Then we have a vertical translation 2 units up, |x-4|⇒|x-4|+2.

Therefore the parent function was horizontally translated 4 units to the right and vertically translated 2 units up.

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Exercises p.191