Algebra and Trigonometry 10th Edition

Published by Cengage Learning
ISBN 10: 9781337271172
ISBN 13: 978-1-33727-117-2

Chapter 4 - 4.3 - Conics - 4.3 Exercises - Page 338: 42



Work Step by Step

Major axis is vertical. The point $(0,4)$ is a vertice: $a=4$ The point $(2,0)$ is one of the endpoints of the minor axis: $b=2$ Standard form when major axis is vertical: $\frac{x^2}{b^2}+\frac{y^2}{a^2}=1$ $\frac{x^2}{4^2}+\frac{y^2}{2^2}=1$ $\frac{x^2}{16}+\frac{y^2}{4}=1$
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