College Algebra (10th Edition)

Published by Pearson
ISBN 10: 0321979478
ISBN 13: 978-0-32197-947-6

Chapter 7 - Section 7.3 - The Ellipse - 7.3 Assess Your Understanding - Page 524: 14



Work Step by Step

The major axis is along the $y$-axis, center is at (0,0). The denominator under $y^{2}$ is going to be larger. The vertices are $(0,\pm 4),\quad a=4, \quad a^{2}=16$ The minor axis has length $2b=4, $ so $\quad b=2, \quad b^{2}=4$ The equation is$\quad$ $\displaystyle \frac{x^{2}}{4}+\frac{y^{2}}{16}=1$, ....choice $(D)$
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