Intermediate Algebra for College Students (7th Edition)

Published by Pearson
ISBN 10: 0-13417-894-7
ISBN 13: 978-0-13417-894-3

Chapter 10 - Section 10.2 - The Ellipse - Exercise Set - Page 777: 2

Answer

The graph is shown below.

Work Step by Step

The given equation is in the standard form of an ellipse's equation. Larger denominator is $a^2=25$, so a=5. Smaller denominator is $b^2=16$, so b=4. Because the denominator of the $x^2$ term is greater than the denominator of the $y^2$ term, the major axis is horizontal, and the vertices are: $(-a,0)=(-5,0)$ and $(a,0)=(5,0)$. The minor axis is vertical, and the vertices are $(0,-b)=(0,-4)$ and $(0,b)=(0,4)$. Use endpoints on the major and minor axes to draw the ellipse.
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