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: 73

Answer

False

Work Step by Step

We are given the functions: $f(x)=\sqrt x$ $h(x)=-\sqrt{x+9}-13$ We start with the function $f(x)=\sqrt x$. Horizontally shift it 9 units to the left to get $\sqrt{x+9}$, then reflect it across the $x$ axis to get $-\sqrt{x+9}$. Then vertically shift it 13 units downward to get $h(x)$. The given statement is false because the order of the last two transformations have to be reversed.
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