Find an Equation in Standard Form for the Hyperbola That $( 4 , - 5 )$

Multiple Choice

Find an equation in standard form for the hyperbola that satisfies the given conditions.
-Center $( 4 , - 5 )$ , focus $( 11 , - 5 )$ , vertex $( 7 , - 5 )$

A) $\frac { ( x - 4 ) ^ { 2 } } { 9 } - \frac { ( y + 5 ) ^ { 2 } } { 49 } = 1$
B) $\frac { ( x - 4 ) ^ { 2 } } { 9 } - \frac { ( y + 5 ) ^ { 2 } } { 40 } = 1$
C) $\frac { ( x + 4 ) ^ { 2 } } { 9 } - \frac { ( y + 5 ) ^ { 2 } } { 40 } = 1$
D) $\frac { ( x - 4 ) ^ { 2 } } { 40 } - \frac { ( y + 5 ) ^ { 2 } } { 9 } = 1$