Precalculus (6th Edition)

Published by Pearson
ISBN 10: 013421742X
ISBN 13: 978-0-13421-742-0

Chapter 2 - Graphs and Functions - 2.7 Graphing Techniques - 2.7 Exercises - Page 273: 32

Answer

See graph.

Work Step by Step

Start from the graph of $y=\sqrt x$ (red), as $h(x)=\sqrt {9x}=3\sqrt x$, stretch vertically by a factor of $3$ to obtain $h(x)=\sqrt {9x}$ (purple). Another way is to start from the graph of $y=\sqrt x$ (red), shrink horizontally by a factor of $9$ to obtain $h(x)=\sqrt {9x}$ (purple).
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