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: 33



Work Step by Step

Major axis is vertical. Vertices: $(0,2)=(0,a)$ $(0,-2)=(0,-a)$ $(1,0)=(b,0)$ $(-1,0)=(-b,0)$ That is, $a=2$ and $b=1$ Standard form when major axis is vertical: $\frac{x^2}{b^2}+\frac{y^2}{a^2}=1$ $\frac{x^2}{1^2}+\frac{y^2}{2^2}=1$ $x^2+\frac{y^2}{4}=1$
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