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Find the Standard-Form Equation for a Hyperbola Which Satisfies the Given

Question 358

Multiple Choice

Find the standard-form equation for a hyperbola which satisfies the given conditions.
-A hyperbola centered at the origin having vertex at (0, -8) and eccentricity equal to 2


A) y264x2192=1\frac { y ^ { 2 } } { 64 } - \frac { x ^ { 2 } } { 192 } = 1
B) y264x264=1\frac { y ^ { 2 } } { 64 } - \frac { x ^ { 2 } } { 64 } = 1
C) y264+x2192=1\frac { y ^ { 2 } } { 64 } + \frac { x ^ { 2 } } { 192 } = 1
D) x264y2192=1\frac { x ^ { 2 } } { 64 } - \frac { y ^ { 2 } } { 192 } = 1

Correct Answer:

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