Precalculus (6th Edition) Blitzer

Published by Pearson
ISBN 10: 0-13446-914-3
ISBN 13: 978-0-13446-914-0

Chapter 9 - Mid-Chapter Check Point - Page 1000: 3

Answer

See graph and explanations.

Work Step by Step

Step 1. Graph the equation as shown in the figure. Step 2. We can identify from the given equation that $a=5, b=4$; thus $c=\sqrt {5^2-4^2}=3$ Step 3. As the center of the ellipse is at $(2,-1)$ and the major axis is vertical, the foci are $(2,2)$ and $(2,-4)$ as shown in the figure. See graph and explanations.
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