Find the Standard Equation of the Sphere with Center (2 $( x - 2 ) ^ { 2 } + ( y - 8 ) ^ { 2 } + ( z + 4 ) ^ { 2 } = 4$

Multiple Choice

Find the standard equation of the sphere with center (2, 8, 4) , and radius 2.

A) $( x - 2 ) ^ { 2 } + ( y - 8 ) ^ { 2 } + ( z + 4 ) ^ { 2 } = 4$
B) $( x + 2 ) ^ { 2 } + ( y - 8 ) ^ { 2 } + ( z - 4 ) ^ { 2 } = 2$
C) $( x - 2 ) ^ { 2 } + ( y - 8 ) ^ { 2 } + ( z - 4 ) ^ { 2 } = 2$
D) $( x - 2 ) ^ { 2 } + ( y + 8 ) ^ { 2 } + ( z - 4 ) ^ { 2 } = 4$
E) $( x - 2 ) ^ { 2 } + ( y - 8 ) ^ { 2 } + ( z - 4 ) ^ { 2 } = 4$