Precalculus (10th Edition)

Published by Pearson
ISBN 10: 0-32197-907-9
ISBN 13: 978-0-32197-907-0

Chapter 2 - Functions and Their Graphs - 2.5 Graphing Techniques: Transformations - 2.5 Assess Your Understanding - Page 104: 55


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Work Step by Step

We are given the function: $h(x)=\sqrt{-x}-2$ We start graphing with the basic function $a(x)=\sqrt x$. We reflect $a(x)$ about the $y$-axis to get $b(x)=\sqrt{-x}$. Then we vertically shift $b(x)$ 2 units downward to get $h(x)=\sqrt{-x}-2$. We use 3 points: $(-4,0),(-1,-1),(0,-2)$.
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