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: 3

Answer

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

Work Step by Step

From the given equation, we can see that the major axis is the y-axis. We can identify $a^2=25$; thus $a=5$ and the y-intercepts are $-5$ and $5$. This means that the graph passes through points $(0,-5)$ and $(0,5)$, the vertices. We can also identify $b^2=9$. Thus $b=3$ and the x-intercepts are $-3$ and $3$. This means that the graph passes through points $(-3,0)$ and $(3,0)$.
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