Find an Equation for the Conic That Satisfies the Given $6$

Multiple Choice

Find an equation for the conic that satisfies the given conditions. hyperbola, foci (0, ± $6$ ) , vertices (0, ± $3$ )

A) $6 x ^ { 2 } = y$
B) $\frac { ( x - 6 ) ^ { 2 } } { 36 } - \frac { y ^ { 2 } } { 27 } = 1$
C) $\frac { 6 } { 27 } x ^ { 2 } = y$
D) $\frac { x ^ { 2 } } { 36 } + \frac { y ^ { 2 } } { 27 } = 1$
E) $\frac { y ^ { 2 } } { 36 } - \frac { x ^ { 2 } } { 27 } = 1$