Thomas' Calculus 13th Edition

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

Chapter 1: Functions - Questions to Guide Your Review - Page 36: 10

Answer

See below

Work Step by Step

Vertically stretching a graph of $y=f(x)$ by factor $c\gt 1$ is achieved by defining the new function as $y=c\cdot f(x)$ Vertically compressing is done by $y=\displaystyle \frac{1}{c}\cdot f(x).$ Horizontal stretching is done by $y=f(\displaystyle \frac{1}{c}x)$ Horizontal compression is done by $y=f(cx)$ Reflecting across the x-axis: $y=-f(x)$ Reflecting across the y-axis: $y=f(-x)$ Examples:
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