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 525: 25

Answer

Center at $\quad(0,0).$ Vertices at $\quad (-4,0),(4,0),(0,-4),(0,4)$ Focus at $\quad(0,0). $

Work Step by Step

Divide the equation with $16$ ... (we want the standard form) $\displaystyle \frac{x^{2}}{16}+\frac{y^{2}}{16}=1$ $\displaystyle \frac{x^{2}}{4^{2}}+\frac{y^{2}}{4^{2}}=1 \quad $...$a=b=4,$ a circle, radius $=4$. (both axes are main axes) Center is at $(0,0)$. The focus of the ellipse is at its center, $(0,0)$. The vertices are $(-4,0),(4,0),(0,-4),(0,4)$
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