Algebra and Trigonometry 10th Edition

Published by Cengage Learning
ISBN 10: 9781337271172
ISBN 13: 978-1-33727-117-2

Chapter 2 - 2.5 - Transformations of Functions - 2.5 Exercises - Page 212: 48a



Work Step by Step

Since $f(x)=x^3$ is the overall shape of the graph we will start with that: $f(x)=x^3$ Notice that the graph has been compressed vertically (by a factor of k). The function of the graph can be written as: $f(x)=kx^3$ Substitute in the point (2,2) to solve for k: $2=k(2^3)$ $2=k(8)$ $k=\frac{2}{8}=\frac{1}{4}$ So, the final equation: $f(x)=\frac{1}{4}x^3$
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