Solve the Problem $\frac { x ^ { 2 } } { 16 } + \frac { y ^ { 2 } } { 9 } = 1$

Multiple Choice

Solve the problem.
-The ellipse $\frac { x ^ { 2 } } { 16 } + \frac { y ^ { 2 } } { 9 } = 1$ is shifted up 6 units and left 8 units. Find an equation for the new ellipse and find the new center.

A) $\frac { ( x + 8 ) ^ { 2 } } { 16 } + \frac { ( y - 6 ) ^ { 2 } } { 9 } = 1$ ; center: $( - 8,6 )$
B) $\frac { ( x + 6 ) ^ { 2 } } { 7 } + \frac { ( y - 8 ) ^ { 2 } } { 3 } = 1 ;$ center: $( 6 , - 8 )$
C) $\frac { ( x + 8 ) ^ { 2 } } { 7 } + \frac { ( y - 6 ) ^ { 2 } } { 3 } = 1 ;$ center: $( 8,6 )$
D) $\frac { ( x - 8 ) ^ { 2 } } { 16 } + \frac { ( y + 6 ) ^ { 2 } } { 9 } = 1 ;$ center: $( - 8,6 )$