Precalculus (6th Edition)

Published by Pearson
ISBN 10: 013421742X
ISBN 13: 978-0-13421-742-0

Chapter 10 - Analytic Geometry - Quiz - Page 981: 7

Answer

See graph and explanations.

Work Step by Step

Rewrite the equation as $\frac{x^2}{9}+\frac{y^2}{4}=1$, we can identify it as an ellipse with center $(0,0)$, vertices $(\pm3,0)$. As $a=3,b=2$, we have $c=\sqrt {a^2-b^2}=\sqrt 5$ and the foci at $(\pm\sqrt 5,0)$. See graph.
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