College Algebra (6th Edition)

Published by Pearson
ISBN 10: 0-32178-228-3
ISBN 13: 978-0-32178-228-1

Chapter 7 - Conic Sections - Concept and Vocabulary Check - Page 670: 6

Answer

Fill the blanks with $(-2, -2)$ ... $(8, -2)$

Work Step by Step

Standard form with center at $(h,k)$, major and minor axes of lengths $2a$ and $2b$ (where $a$ and $b$ are positive, and $a^{2} > b^{2}$), major axis parallel to the x-axis, horizontal: $\displaystyle \frac{(x-h)^{2}}{a^{2}}+ \displaystyle \frac{(y-k)^{2}}{b^{2}}=1$ Center:$ (h, k)$ Vertices: $(h-a, k),\quad (h+a, k) $ --------- Given: $(h, k) =(3,-2),\quad a=5$, Vertices: $(3-5, -2),\quad (3+5, -2) $ $(-2, -2),\quad (8, -2) $ Fill the blanks with $(-2, -2)$ ... $(8, -2)$
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