College Algebra (6th Edition)

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

Chapter 7 - Conic Sections - Exercise Set 7.1 - Page 670: 1

Answer

Foci: $(-2\sqrt{3},0)$ and $(2\sqrt{3},0)$.
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Work Step by Step

Major axis parallel to the x-axis, horizontal $a^{2}=16$ $a=4$ $b^{2}=4,$ $b=2$ Center: (0,0) Vertices: $(h-a, k),\quad (h+a, k) $ $(-4, 0),\quad (4, 0) $ Foci are $c$ units right and $c$ units left of center, where $c^{2}=a^{2}-b^{2}:$ $c^{2}=a^{2}-b^{2}=16-4=12$ $c=\sqrt{12}=2\sqrt{3}$ Foci: $(-2\sqrt{3},0)$ and $(2\sqrt{3},0)$.
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