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

Multiple Choice

Solve the problem.
-The ellipse $\frac { x ^ { 2 } } { 5 } + \frac { y ^ { 2 } } { 16 } = 1$ is shifted down 3 units and right 8 units. Find an equation for the new ellipse and find the new center.

A) $\frac { ( x + 3 ) ^ { 2 } } { 5 } + \frac { ( y - 8 ) ^ { 2 } } { 11 } = 1$ ; center: $( 3 , - 8 )$
B) $\frac { ( x - 3 ) ^ { 2 } } { 5 } + \frac { ( y + 8 ) ^ { 2 } } { 11 } = 1$ ; center: $( - 3,8 )$
C) $\frac { ( x - 8 ) ^ { 2 } } { 5 } + \frac { ( y + 3 ) ^ { 2 } } { 16 } = 1 ;$ center: $( 8 , - 3 )$
D) $\frac { ( x + 8 ) ^ { 2 } } { 5 } + \frac { ( y - 3 ) ^ { 2 } } { 11 } = 1$ ; center: $( 8 , - 3 )$