Precalculus (10th Edition)

Published by Pearson
ISBN 10: 0-32197-907-9
ISBN 13: 978-0-32197-907-0

Chapter 10 - Analytic Geometry - 10.3 The Ellipse - 10.3 Assess Your Understanding - Page 656: 13



Work Step by Step

Because the center of the ellipse is in the origin and the major axis is the x-axis, the equation of the ellipse here has the form $\frac{x^2}{a^2}+\frac{y^2}{b^2}=1$. Here $a=4\\a^2=16$, $b=2\\b^2=4.$ Hence the equation is: $\frac{x^2}{16}+\frac{y^2}{4}=1$, thus the answer is c).
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