Precalculus (6th Edition) Blitzer

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

Chapter 9 - Section 9.1 - The Ellipse - Concept and Vocabulary Check - Page 965: 2

Answer

$25$, $-5$, $5$, $(-5,0)$, $(5,0)$. $ 9$, $-3$, $3$, $(0,-3)$, $(0,3)$.

Work Step by Step

From the given equation, we can identify $a^2=25$; thus $a=5$ and the vertices on the x-axis, or the x-intercepts are $-5$ and $5$. The vertices are $(-5,0)$ and $(5,0)$. From the given equation, we can identify $b^2=9$; thus $b=3$ and the y-intercepts are $-3$ and $3$ indicating that the graph passes through $(0,-3)$ and $(0,3)$.
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