Find the standard-form equation of the hyperbola centered at the origin which satisfies the given conditions.
-Vertices at (2, 0) and (-2, 0); foci at (4, 0) and (-4, 0)
A) $\frac { x ^ { 2 } } { 16 } - \frac { y ^ { 2 } } { 4 } = 1$
B) $\frac { x ^ { 2 } } { 4 } - \frac { y ^ { 2 } } { 12 } = 1$
C) $\frac { x ^ { 2 } } { 4 } - \frac { y ^ { 2 } } { 16 } = 1$
D) $\frac { x ^ { 2 } } { 12 } - \frac { y ^ { 2 } } { 4 } = 1$

Question

Find the standard-form equation of the hyperbola centered at the origin which satisfies the given conditions.
-Vertices at (2, 0) and (-2, 0); foci at (4, 0) and (-4, 0) 
A) $\frac { x ^ { 2 } } { 16 } - \frac { y ^ { 2 } } { 4 } = 1$
B) $\frac { x ^ { 2 } } { 4 } - \frac { y ^ { 2 } } { 12 } = 1$
C) $\frac { x ^ { 2 } } { 4 } - \frac { y ^ { 2 } } { 16 } = 1$
D) $\frac { x ^ { 2 } } { 12 } - \frac { y ^ { 2 } } { 4 } = 1$

Quizplus · Accepted Answer

The Answer of Find the standard-form equation of the hyperbola centered at the origin which satisfies the given conditions.
-Vertices at (2, 0) and (-2, 0); foci at (4, 0) and (-4, 0) 
A) $\frac { x ^ { 2 } } { 16 } - \frac { y ^ { 2 } } { 4 } = 1$
B) $\frac { x ^ { 2 } } { 4 } - \frac { y ^ { 2 } } { 12 } = 1$
C) $\frac { x ^ { 2 } } { 4 } - \frac { y ^ { 2 } } { 16 } = 1$
D) $\frac { x ^ { 2 } } { 12 } - \frac { y ^ { 2 } } { 4 } = 1$

Find the Standard-Form Equation of the Hyperbola Centered at the Origin