Precalculus: Mathematics for Calculus, 7th Edition

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

Chapter 5 - Section 5.3 - Trigonometric Graphs - 5.3 Exercises - Page 430: 61

Answer

See graph below

Work Step by Step

For $y=a\sin^2 c(x−h) + k$ Amplitude: $|a|$, Period: $\frac{2\pi} {|c|}$, Horizontal Shift: h The question asks for a graph with an appropriate viewing rectangle, so we must calculate the period and then add it to the horizontal shift Given $f(x) = \sin^2 20x$ The Amplitude is $|1| =1$ The Period is $\frac{2\pi}{|20|} = \frac{\pi}{10}$ The Horizontal shift is 0 units to the right The appropriate viewing rectangle would be from $[0, \frac{\pi}{10}]$ See graph below.
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