Precalculus: Mathematics for Calculus, 7th Edition

Published by Brooks Cole
ISBN 10: 1305071751
ISBN 13: 978-1-30507-175-9

Chapter 5 - Review - Exercises - Page 463: 33

Answer

Amplitude is 3 Period is $\pi$ Horizontal shift is 1

Work Step by Step

First, one must convert the equation to the following form $y=a\cdot $sin$(k(x-b))$, so it will be $y=3\cdot $sin$(2(x-1))$ Now one can find the data. The amplitude is $|a|$ which is 3 in this example. The period is found using $\frac{2\pi}{k}$, so $\frac{2\pi}{2}=\pi$. And the horizontal shift is represented by $b$, which, in this case, is $1$.
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.