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: 101

Answer

reflect $f(x)$ around the $y$ and $x$ axes and shift 6 units up

Work Step by Step

To obtain $g(x)$, we take $f(x)$ and apply the transformation $g(x)=-f(-x)+6$. That is, we reflect $f(x)$ around the $y$ and $x$ axes, and shift the graph 6 units up.
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