Precalculus: Concepts Through Functions, A Unit Circle Approach to Trigonometry (3rd Edition)

Published by Pearson
ISBN 10: 0-32193-104-1
ISBN 13: 978-0-32193-104-7

Chapter 5 - Trigonometric Functions - Section 5.6 Phase Shift; Sinusoidal Curve Fitting - 5.6 Assess Your Understanding - Page 452: 25

Answer

See graph.

Work Step by Step

1. Given $y=-sec(2\pi x+\pi)$, we can find its period$=\frac{2\pi}{2\pi}=1$, phase shift$=-\frac{1}{2}$. 2. Start with one period of $y=sec(x)$, compress horizontally by a factor of 2, shift $\frac{1}{2}$ unit to the left, then reflect across the x-axis. Repeat the resulting curve horizontally to cover the window. 3. See graph.
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