Identify the Vertices and Center of the Ellipse $25 x ^ { 2 } + 16 y ^ { 2 } - 100 x + 96 y - 156 = 0$

Multiple Choice

Identify the vertices and center of the ellipse. $25 x ^ { 2 } + 16 y ^ { 2 } - 100 x + 96 y - 156 = 0$

A) vertices: $( - 2 , - 2 ) , ( - 2,8 )$ center: (-2,3)
B) vertices: $( 2 , - 2 ) , ( 2,8 )$ center: (2,3)
C) vertices: $( 2 , - 8 ) , ( 2,2 )$ center: (2,-3)
D) vertices: $( - 2 , - 5 ) , ( - 2,5 )$ center: (-2,-3)
E) vertices: $( - 2 , - 5 ) , ( - 2,5 )$ center: (-2,3)