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: 36


The graph of $x^2+\frac{y^2}{12}=1$

Work Step by Step

$12\gt1$: major axis is vertical. $a^2=12$ $a=\sqrt {12}$ Vertices: $(0,±\sqrt {12})$ Also, when $y=0$: $x^2+\frac{0^2}{12}=1$ $x=±1$ It gives us the endpoints of the minor axis: $(±1,0)$
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