Trigonometry 7th Edition

Published by Cengage Learning
ISBN 10: 1111826854
ISBN 13: 978-1-11182-685-7

Chapter 4 - Section 4.2 - Amplitude, Reflection, and Period - 4.2 Problem Set - Page 207: 87

Answer

The variable $h$ in the equation $y = \sin (x - h)$ determines the horizontal (phase) shift of the graph. $y = \sin (x - 0)$ -> no phase shift $y = \sin (x - (-\frac{\pi}{4}))$ -> $\frac{\pi}{4}$ or $45^{\circ}$ phase shift to the left $y = \sin (x - (-\frac{\pi}{2}))$ -> $\frac{\pi}{2}$ or $90^{\circ}$ phase shift to the left

Work Step by Step

See below graph for reference:
Update this answer!

You can help us out by revising, improving and updating this answer.

Update this answer

After you claim an answer you’ll have 24 hours to send in a draft. An editor will review the submission and either publish your submission or provide feedback.