College Algebra 7th Edition

Published by Brooks Cole
ISBN 10: 1305115546
ISBN 13: 978-1-30511-554-5

Chapter 7, Conic Sections - Section 7.2 - Ellipses - 7.2 Exercises - Page 563: 38

Answer

The graph of $x^2+2y^2=8$

Work Step by Step

$x^2+2y^2=8$ $\frac{x^2}{8}+\frac{y^2}{4}=1$ $8\gt4$: Major axis is horizontal. $a^2=8$ $a=2\sqrt 2$ Vertices: $(±2\sqrt 2,0)$ Also, when $x=0$: $\frac{0^2}{8}+\frac{y^2}{4}=1$ $y^2=4$ $y=±2$ It gives us the endpoints of the minor axis: $(0,±2)$
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