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: 11

Answer

Fill the blanks with $(-2,-3)$ , $(6,-3)$

Work Step by Step

From Table 3: Major axis horizontal (parallel to the x-axis) $\begin{array}{lll} \text{ Foci}&\text{ Vertices}&\text{ Equation}\\ {(h+c, k)}&{(h+a,k)}&{\displaystyle \frac{(x-h)^{2}}{a^{2}}+\frac{(y-k)^{2}}{b^{2}}=1}\\ {(h-c,k)}&{(h-a,k)}&{a \gt b \gt 0\text{ and }b^{2}=a^{2}-c^{2}}\\ \end{array}$ Given $(h,k)=(2,-3), a=4$ The coordinates of the vertices are $(h+a,k)=(6,-3)$ $(h-a,k)=(-2,-3)$ Fill the blanks with $(-2,-3)$ , $(6,-3)$
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