Write an Equation for the Hyperbola $( - 5,3 ) , ( - 5 , - 19 ) ;$

Write an equation for the hyperbola.
-vertices at $( - 5,3 ) , ( - 5 , - 19 ) ;$ asymptotes $y = \pm \frac { 11 } { 4 } ( x + 5 ) - 8$

A) $\frac { ( y - 8 ) ^ { 2 } } { 121 } - \frac { ( x - 5 ) ^ { 2 } } { 16 } = 1$
B) $\frac { ( x - 5 ) ^ { 2 } } { 121 } - \frac { ( y - 8 ) ^ { 2 } } { 121 } = 1$
C) $\frac { ( y + 8 ) ^ { 2 } } { 121 } - \frac { ( x + 5 ) ^ { 2 } } { 16 } = 1$
D) $\frac { ( x + 5 ) ^ { 2 } } { 121 } - \frac { ( y + 8 ) ^ { 2 } } { 121 } = 1$

Correct Answer:

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