Thomas' Calculus 13th Edition

Published by Pearson
ISBN 10: 0-32187-896-5
ISBN 13: 978-0-32187-896-0

Chapter 1: Functions - Section 1.2 - Combining Functions; Shifting and Scaling Graphs - Exercises 1.2: 62

Answer

$$y=3\sqrt{x+1},$$

Work Step by Step

Given the graph of $y=f(x)$ and a real number $c>1$, we obtain the graph of $y=cf(x)$ by vertically stretching the graph of $y=f(x)$ by a factor of $c$. Hence, to vertically stretch the graph of $y=\sqrt{x+1}$ by a factor of 3, we multiply the right hand side of this equation by $3$, and, thus, obtain the equation: $$y=3\sqrt{x+1}$$
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