Write an Equation for the Hyperbola $( 1 , - 8 ) ;$

Write an equation for the hyperbola.
-center at $( 1 , - 8 ) ;$ focus at $( 1 - 2 \sqrt { 17 } , - 8 ) ;$ eccentricity $\frac { 2 \sqrt { 17 } } { 8 }$

A) $\frac { ( x - 1 ) ^ { 2 } } { 4 } - \frac { ( y + 8 ) ^ { 2 } } { 64 } = 1$
B) $\frac { ( x + 1 ) ^ { 2 } } { 64 } - \frac { ( y - 8 ) ^ { 2 } } { 4 } = 1$
C) $\frac { ( x - 1 ) ^ { 2 } } { 64 } - \frac { ( y + 8 ) ^ { 2 } } { 4 } = 1$
D) $\frac { ( x + 1 ) ^ { 2 } } { 4 } - \frac { ( y - 8 ) ^ { 2 } } { 64 } = 1$

Correct Answer:

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