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 13 - A Preview of Calculus: The Limit, Derivative, and Integral of a Function - Section 13.1 Finding Limits Using Tables and Graphs - 13.1 Assess Your Understanding - Page 897: 50

Answer

center $(2,-1)$, vertices $(2,-1\pm\sqrt {13})$, foci $(2,-3),(2,1)$

Work Step by Step

1. Based on the given equation, we can identify the center $(2,-1)$ and a vertical major axis. 2. We have $a^2=13, b^2=9$, thus $$c=\sqrt {13-9}=2$ 3. The vertices are $(2,-1\pm\sqrt {13})$, foci $(2,-1\pm2)$ or $(2,-3),(2,1)$
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