Calculus 8th Edition

Published by Cengage
ISBN 10: 1285740629
ISBN 13: 978-1-28574-062-1

Chapter 1 - Functions and Limits - 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 the image below.
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Work Step by Step

We can easily determine that the parent function is $y=sinx$ (Blue line graph on the image) Then 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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