Find the Standard Form of the Equation of the Sphere $( x - 6 ) ^ { 2 } - ( y - 6 ) ^ { 2 } - ( z + 6 ) ^ { 2 } = 4$

Multiple Choice

Find the standard form of the equation of the sphere with the given characteristics. Center: (-6,-6,6) ;radius 2

A) $( x - 6 ) ^ { 2 } - ( y - 6 ) ^ { 2 } - ( z + 6 ) ^ { 2 } = 4$
B) $( x - 6 ) ^ { 2 } + ( y - 6 ) ^ { 2 } + ( z + 6 ) ^ { 2 } = 4$
C) $( x + 6 ) ^ { 2 } + ( y + 6 ) ^ { 2 } + ( z - 6 ) ^ { 2 } = 4$
D) $x ^ { 2 } + y ^ { 2 } + z ^ { 2 } = 4$
E) $( x + 6 ) ^ { 2 } - ( y + 6 ) ^ { 2 } - ( z - 6 ) ^ { 2 } = 4$