Precalculus (6th Edition) Blitzer

Published by Pearson

Chapter 9 - Section 9.2 - The Hyperbola - Exercise Set - Page 983: 68

Answer

See explanations.

Work Step by Step

From the given equation, we have $a=3, b=1$ and the hyperbola is centered at $(0,0)$ with a horizontal transverse axis. The asymptotes are $y=\frac{b}{a}x=\frac{1}{3}x$. To graph the hyperbola, locate the vertices at $(\pm3,0)$, graph the asymptotes, and start from the vertices to draw the two branches of the hyperbola guided by the asymptotes.

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