Precalculus (6th Edition) Blitzer

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

Chapter 9 - Section 9.2 - The Hyperbola - Exercise Set - Page 981: 25


asymptotes: $y=\pm x$ foci: $(\pm2,0)$

Work Step by Step

Step 1. Rewriting the equation as $\frac{x^2}{2}-\frac{y^2}{2}=1$, we have $a=b=\sqrt 2, c=\sqrt {a^2+b^2}=2$ centered at $(0,0)$ with a horizontal transverse axis. Step 2. We can find the vertices as $(\pm\sqrt 2,0)$ and asymptotes as $y=\frac{b}{a}x=\pm x$ Step 3. We can graph the equation as shown in the figure with foci at $(\pm2,0)$
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