Find the Center and Radius of the Sphere Whose Equation $2 x ^ { 2 } + 2 y ^ { 2 } + 2 z ^ { 2 } - 8 x + 12 y - 12 z + 43 = 0$

Multiple Choice

Find the center and radius of the sphere whose equation is $2 x ^ { 2 } + 2 y ^ { 2 } + 2 z ^ { 2 } - 8 x + 12 y - 12 z + 43 = 0$ . Round your answer to two decimal places, where applicable.

A) center: $( - 2,3 , - 3 )$ ; radius: 0.71
B) center: $( 2 , - 3,3 )$ ; radius: 0.71
C) center: $( 2 , - 3,3 )$ ; radius: 0.50
D) center: $( - 2 , - 3,3 )$ ; radius: 0.71
E) center: $( - 2,3 , - 3 )$ ; radius: 0.50