Calculus: Early Transcendentals 8th Edition

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

Chapter 1 - Section 1.3 - New Functions from Old Functions - 1.3 Exercises - Page 43: 19

Answer

Parent function: $y=sinx$ Transformation: $y=sin(\frac{1}{2}x)$ See image.

Work Step by Step

We can easily determine that the parent function is $y=sinx$ (Blue line graph on the image) We apply the transformation: To graph $y=sin(\frac{1}{2}x)$, we have to stretch the parent graph by the factor of 2 (Red line graph on the image).
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