Answer
$\frac{x^{2}}{2}+\frac{y^{2}}{4}=1$
Work Step by Step
Vertices : $(0,\pm2)$
This means $b=2$
Foci: $( 0,\pm 2)$
$c=\sqrt 2$ and $a=\sqrt 2$
$\frac{x^{2}}{2}+\frac{y^{2}}{4}=1$, (This is an equation of an ellipse)
Calculus: Early Transcendentals 8th Edition
by Stewart, James
Published by
Cengage Learning
ISBN 10:
1285741552
ISBN 13:
978-1-28574-155-0
Chapter 10 - Section 10.5 - Conic Sections - 10.5 Exercises - Page 680: 38
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