Precalculus (6th Edition)

Published by Pearson
ISBN 10: 013421742X
ISBN 13: 978-0-13421-742-0

Chapter 6 - The Circular Functions and Their Graphs - Summary Exercises on Graphing Circular Functions - Exercises - Page 633: 10

Answer

See graph and explanations.

Work Step by Step

1. Given $y=2-sec[\pi(x-3)]=2-\frac{1}{cos[\pi(x-3)]}$, we have period $p=\frac{2\pi}{\pi}=2$. 2. Graph $y=-cos[\pi(x-3)]$ (blue), use reciprocal property to get $y=-sec[\pi(x-3)]$, then shift 2 units up to get $y=2-sec[\pi(x-3)]$ (red).
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