Precalculus (6th Edition) Blitzer

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

Chapter 9 - Review Exercises - Page 1035: 19

Answer

See graph: foci $(2\pm\sqrt {41},-3)$, asymptotes $y=\pm\frac{4}{5}(x-2)-3$

Work Step by Step

Step 1. From the given equation, we have $a=5, b=4$; thus $c=\sqrt {5^2+4^2}=\sqrt {41}$ and the center is at $(2,-3)$ Step 2. See graph; we can locate the foci at $(2\pm\sqrt {41},-3)$ Step 3. The asymptotes can be found as $y+3=\pm\frac{4}{5}(x-2)$ or $y=\pm\frac{4}{5}(x-2)-3$
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