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: 17

Answer

See graph. Foci $(\pm5,0)$; asymptotes $y=\pm\frac{3}{4}x$

Work Step by Step

Step 1. Rewrite the given equation as $\frac{x^2}{16}-\frac{y^2}{9}=1$; we have $a=4, b=3$ and thus $c=\sqrt {4^2+3^2}=5$. The foci are on the x-axis. Step 2. See graph; we can locate the foci at $(\pm5,0)$ Step 3. The asymptotes can be found as $y=\pm\frac{3}{4}x$
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