Algebra and Trigonometry 10th Edition

Published by Cengage Learning
ISBN 10: 9781337271172
ISBN 13: 978-1-33727-117-2

Chapter 2 - Review Exercises - Page 234: 56

Answer

(a) Parent function is:$f(x)=\sqrt{x}$ (b) A reflection across the $x$-axis, translation of $1$ unit left, and translation of $9$ units up. (c) The graph of $h$ is as shown. (d) $h(x)=-f(x+1)+9$

Work Step by Step

(a) Parent function is: $$f(x)=\sqrt{x}$$ (b) The transformation is a reflection across the $x$-axis, translation of $1$ unit left, and translation of $9$ units up. (c) The graph of $h$ is as shown. (d) $h$ in terms of $f$ is: $$h(x)=-f(x+1)+9$$
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