College Algebra 7th Edition

Published by Brooks Cole
ISBN 10: 1305115546
ISBN 13: 978-1-30511-554-5

Chapter 2, Functions - Section 2.6 - Transformations of Functions - 2.6 Exercises: 21

Answer

(a) shift $f(x)$ left 2 units and down 2 units (b) shift $f(x)$ right 2 units and up 2 units

Work Step by Step

(a) The graph $g(x)=|x+2|-2$ is obtained by shifting $f(x)=|x|$ left 2 units and down 2 units. (b) The graph $g(x)=g(x)=|x-2|+2$ is obtained by shifting $f(x)=|x|$ right 2 units and up 2 units.
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