Write an Equation for the Hyperbola $( - 4,3 )$ And $( 2,3 )$

Write an equation for the hyperbola.
-vertices at $( - 4,3 )$ and $( 2,3 )$ , passing through the point $( - 6,9 )$

A) $\frac { ( x + 1 ) ^ { 2 } } { 9 } - \frac { ( y - 3 ) ^ { 2 } } { \frac { 117 } { 4 } } = 1$
B) $\frac { ( x + 1 ) ^ { 2 } } { 9 } - \frac { ( y - 3 ) ^ { 2 } } { \frac { 81 } { 4 } } = 1$
C) $\frac { ( x + 1 ) ^ { 2 } } { \frac { 117 } { 4 } } - \frac { ( y - 3 ) ^ { 2 } } { 9 } = 1$
D) $\frac { ( x + 1 ) ^ { 2 } } { \frac { 81 } { 4 } } - \frac { ( y - 3 ) ^ { 2 } } { 9 } = 1$

Correct Answer:

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