Algebra 2 (1st Edition)

Published by McDougal Littell
ISBN 10: 0618595414
ISBN 13: 978-0-61859-541-9

Chapter 14 Trigonometric Graphs, Identities, and Equations - 14.2 Translate and Reflect Trigonometric Graphs - 14.2 Exercises - Quiz for Lessons 14.1-14.2 - Page 922: 4

Answer

See below.

Work Step by Step

The amplitude and period of a graph $y=a\cos (bx)$ or $y=a\sin(bx)$ can be obtained by (if $a,b$ are non-zero): amplitude: $|a|$, period: $\frac{2\pi}{|b|}$. Hence here the amplitude is: $|0.5|=0.5$, period: $\frac{2\pi}{|2\pi|}=1$.
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