Identify the Center and Vertices of the Hyperbola $x ^ { 2 } - 16 y ^ { 2 } - 10 x - 96 y - 135 = 0$

Multiple Choice

Identify the center and vertices of the hyperbola. $x ^ { 2 } - 16 y ^ { 2 } - 10 x - 96 y - 135 = 0$

A) center: (5,-3) vertices: $( 1 , - 3 ) , ( 9 , - 3 )$
B) center: (-5,3) vertices: $( - 5,2 ) , ( - 5,4 )$
C) center: $( - 10,10 )$ vertices: $( - 10,2 ) , ( - 10,10 )$
D) center: $( 5 , - 3 )$ vertices: $( 5 , - 4 ) , ( 5 , - 2 )$
E) center: $( 10 , - 10 )$ vertices: $( 10,24 ) , ( 10 , - 24 )$