Precalculus (10th Edition)

Published by Pearson
ISBN 10: 0-32197-907-9
ISBN 13: 978-0-32197-907-0

Chapter 2 - Functions and Their Graphs - 2.5 Graphing Techniques: Transformations - 2.5 Assess Your Understanding - Page 104: 59


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Work Step by Step

We are given the function: $g(x)=2|1-x|$ We have: $g(x)=2|1-x|=2|x-1|$. We start graphing with the basic function $a(x)=|x|$. We horizontally shift $a(x)$ one unit to the right to get $b(x)=|x-1|$. Then we vertically stretch $b(x)$ by a factor of 2 to get $g(x)=2|x-1|$. We use 3 points: $(0,2),(1,0),(2,2)$.
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