Algebra and Trigonometry 10th Edition

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

Chapter 6 - 6.4 - Graphs of Sine and Cosine Functions - 6.4 Exercises - Page 464: 14

Answer

Amplitude will increase by a factor of two and Period will stay the same. There is no shift.

Work Step by Step

We know that the sine and cosine functions are given in the form $y=acos(bx)$ and $y=asin(bx)$. In both equations, $a$ is the amplitude, and $\frac{2\pi}{b}$ is the period. Knowing this, we see that for the given function, Amplitude will increase by a factor of two and Period will stay the same. There is no shift.
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.