Precalculus: Mathematics for Calculus, 7th Edition

Published by Brooks Cole
ISBN 10: 1305071751
ISBN 13: 978-1-30507-175-9

Chapter 2 - Section 2.6 - Transformations of Functions - 2.6 Exercises - Page 207: 68

Answer

$g(x)=-(x-2)^2+1$

Work Step by Step

The graph of $g$ is the result of shifting the graph of $f(x)= x^2 $ by $2$ units to the right, reflecting about the $x-$axis, and shifting $1$ unit up. Hence, the equation of $g$ is \begin{array}{l}\require{cancel} g(x)=-(x-2)^2+1 .\end{array}
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