Precalculus (6th Edition) Blitzer

Published by Pearson
ISBN 10: 0-13446-914-3
ISBN 13: 978-0-13446-914-0

Chapter 1 - Section 1.6 - Transformations of Functions - Exercise Set - Page 244: 133

Answer

The function’s equation is to be multiplied by the factor $C$ , where $C>1$ , to stretch its graph vertically.

Work Step by Step

When we multiply each of the obtained values of the function by a constant value, the graph of the function gets vertically stretched as each of the values is increased by a particular number of times. When the $y$ -coordinate of the point of the given function $f\left( x \right)$ is multiplied by $C$, given that $C>1$ , the points of the graph of $f\left( x \right)$ will be of the form $\left( x,Cf\left( x \right) \right)$. Therefore, the function’s equation should be multiplied by $C$ for $C>1$ to stretch the graph vertically.
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