Solve the Problem $\frac { x ^ { 2 } } { 5 } - \frac { y ^ { 2 } } { 16 } = 1$

Multiple Choice

Solve the problem.
-The hyperbola $\frac { x ^ { 2 } } { 5 } - \frac { y ^ { 2 } } { 16 } = 1$ is shifted down 8 units and right 2 units. Find an equation for the new hyperbola and find the new center.

A) $\frac { ( x + 2 ) ^ { 2 } } { 5 } - \frac { ( y - 8 ) ^ { 2 } } { 11 } = 1$ ; center: $( 2 , - 8 )$
B) $\frac { ( x - 8 ) ^ { 2 } } { 5 } + \frac { ( y + 2 ) ^ { 2 } } { 11 } = 1 ;$ center: $( - 8,2 )$
C) $\frac { ( x - 2 ) ^ { 2 } } { 5 } - \frac { ( y + 8 ) ^ { 2 } } { 16 } = 1$ ; center: $( 2 , - 8 )$
D) $\frac { ( x + 8 ) ^ { 2 } } { 5 } - \frac { ( y - 2 ) ^ { 2 } } { 11 } = 1$ ; center: $( 8 , - 2 )$