Calculus: Early Transcendentals 8th Edition

Published by Cengage Learning
ISBN 10: 1285741552
ISBN 13: 978-1-28574-155-0

Chapter 1 - Review - Exercises - Page 70: 12

Answer

Refer to the blue graph below.

Work Step by Step

The parent function of $y=2\sqrt{x}$ is $y=\sqrt{x}$. RECALL: The graph of $y=c \cdot f(x)$ involves a vertical stretch by a factor of $c$ of the parent function $y=f(x)$. The given function has $c=2$. Thus, its graph involves a vertical stretch by a factor of $2$ of the function $y=\sqrt{x}$. To graph the given function, perform the following steps: (1) Graph the parent function $y=\sqrt{x}$. Refer to the black graph below. (2) Stretch vertically the parent function by a factor of the $2$ to obtain the graph of $y=2\sqrt{x}$. Refer to the blue graph below.
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