Find the Standard Form of the Equation of the Ellipse $( 4 , - 6 ) , ( 4,10 ) \quad$

Multiple Choice

Find the standard form of the equation of the ellipse with the given characteristics.
vertices: $( 4 , - 6 ) , ( 4,10 ) \quad$ minor axis of length: 4

A) $\frac { ( x + 4 ) ^ { 2 } } { 4 } + \frac { ( y + 2 ) ^ { 2 } } { 64 } = 1$
B) $\frac { ( x - 4 ) ^ { 2 } } { 4 } + \frac { ( y - 2 ) ^ { 2 } } { 64 } = 1$
C) $\frac { ( x - 4 ) ^ { 2 } } { 64 } + \frac { ( y - 2 ) ^ { 2 } } { 4 } = 1$
D) $\frac { ( x - 2 ) ^ { 2 } } { 64 } + \frac { ( y - 4 ) ^ { 2 } } { 4 } = 1$
E) $\frac { ( x + 2 ) ^ { 2 } } { 64 } + \frac { ( y + 4 ) ^ { 2 } } { 4 } = 1$