Find the Center and Vertices of the Hyperbola $12 x ^ { 2 } - 4 y ^ { 2 } - 48 x + 32 y - 64 = 0$

Multiple Choice

Find the center and vertices of the hyperbola. $12 x ^ { 2 } - 4 y ^ { 2 } - 48 x + 32 y - 64 = 0$

A) center: (-2,-4) ,vertices: (-2,-6) , (-2,-2)
B) center: (2,4) ,vertices: (2,2) , (2,6)
C) center: (2,4) ,vertices: (0,4) , (4,4)
D) center: (-2,-4) ,vertices: (-4,-4) , (0,-4)
E) center: (-4,-2) ,vertices: (-6,-2) , (-2,-2)