## Precalculus (10th Edition)

Published by Pearson

# Chapter 10 - Analytic Geometry - 10.3 The Ellipse - 10.3 Assess Your Understanding - Page 656: 14

d).

#### 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 $\frac{x^2}{b^2}+\frac{y^2}{a^2}=1$. Here $a=4\\a^2=16$, $b=2\\b^2=4.$ Hence the equation is: $\frac{x^2}{4}+\frac{y^2}{16}=1$, thus the answer is d).

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