Solve the Problem $\frac { y ^ { 2 } } { 11 } - \frac { x ^ { 2 } } { 5 } = 1$

Multiple Choice

Solve the problem.
-The hyperbola $\frac { y ^ { 2 } } { 11 } - \frac { x ^ { 2 } } { 5 } = 1$ is shifted down 7 units and right 5 units. Find an equation for the new hyperbola and find the new vertices.

A) $\frac { ( y + 7 ) ^ { 2 } } { 11 } - \frac { ( x - 5 ) ^ { 2 } } { 5 } = 1$ ; vertices: $( 5 \pm \sqrt { 5 } , - 7 )$
B) $\frac { ( y + 7 ) ^ { 2 } } { 11 } - \frac { ( x - 5 ) ^ { 2 } } { 5 } = 1$ ; vertices: $( 5 , - 7 \pm \sqrt { 11 } )$
C) $\frac { ( y - 7 ) ^ { 2 } } { 11 } - \frac { ( x + 5 ) ^ { 2 } } { 5 } = 1$ ; vertices: $( 5 , - 7 \pm \sqrt { 11 } )$
D) $\frac { ( y + 5 ) ^ { 2 } } { 11 } - \frac { ( x - 7 ) ^ { 2 } } { 5 } = 1$ ; vertices: $( 5 \pm \sqrt { 5 } , - 7 )$