Find an Equation for the Conic That Satisfies the Given $( \pm 1,6 )$

Multiple Choice

Find an equation for the conic that satisfies the given conditions. ellipse, foci $( \pm 1,6 )$ , length of major axis 8

A) $6 x ^ { 2 } = y$
B) $\frac { x ^ { 2 } } { 16 } + \frac { ( y - 6 ) ^ { 2 } } { 15 } = 1$
C) $\frac { ( x - 6 ) ^ { 2 } } { 16 } - \frac { y ^ { 2 } } { 15 } = 1$
D) $\frac { x ^ { 2 } } { 36 } + \frac { y ^ { 2 } } { 15 } = 1$
E) $36 x ^ { 2 } = y$