Identify the Vertices and Center of the Ellipse $36 x ^ { 2 } + 25 y ^ { 2 } + 72 x - 200 y - 464 = 0$

Multiple Choice

Identify the vertices and center of the ellipse. $36 x ^ { 2 } + 25 y ^ { 2 } + 72 x - 200 y - 464 = 0$

A) vertices: $( - 6,4 ) , ( 4,4 )$ center: (-1,4)
B) vertices: $( - 1 , - 2 ) , ( - 1,10 )$ center: (-1,4)
C) vertices: $( - 7,4 ) , ( 5,4 )$ center: (-1,4)
D) vertices: $( 1 , - 1 ) , ( - 1,9 )$ center: (1,-4)
E) vertices: $( 1 , - 10 ) , ( - 1,2 )$ center: (1,-4)