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

Multiple Choice

Find the standard form of the equation of the ellipse with the given characteristics.
Center: $( - 6,4 )$ , a = 5c, foci: $( - 8,4 ) , ( - 4,4 )$ , where a - thr semimajor axis, b - semiminor axis and $c ^ { 2 } = a ^ { 2 } - b ^ { 2 }$ .

A) $\frac { ( x - 6 ) ^ { 2 } } { 96 } + \frac { ( y + 4 ) ^ { 2 } } { 100 } = 1$
B) $\frac { ( x + 6 ) ^ { 2 } } { 96 } + \frac { ( y - 4 ) ^ { 2 } } { 100 } = 1$
C) $\frac { ( x + 6 ) ^ { 2 } } { 100 } + \frac { ( y - 4 ) ^ { 2 } } { 96 } = 1$
D) $\frac { ( x - 4 ) ^ { 2 } } { 100 } + \frac { ( y + 6 ) ^ { 2 } } { 96 } = 1$
E) $\frac { ( x + 4 ) ^ { 2 } } { 100 } + \frac { ( y - 6 ) ^ { 2 } } { 96 } = 1$