Find the Standard Form of the Equation of the Sphere $( x - 4 ) ^ { 2 } + ( y + 1 ) ^ { 2 } + ( z - 7 ) ^ { 2 } = 81$

Multiple Choice

Find the standard form of the equation of the sphere with the given characteristics.
Center: (-4,1,-7) ;radius 9

A) $( x - 4 ) ^ { 2 } + ( y + 1 ) ^ { 2 } + ( z - 7 ) ^ { 2 } = 81$
B) $( x + 4 ) ^ { 2 } - ( y - 1 ) ^ { 2 } - ( z + 7 ) ^ { 2 } = 81$
C) $( x + 4 ) ^ { 2 } + ( y - 1 ) ^ { 2 } - ( z + 7 ) ^ { 2 } = 81$
D) $( x + 4 ) ^ { 2 } - ( y - 1 ) ^ { 2 } + ( z + 7 ) ^ { 2 } = 81$
E) $( x + 4 ) ^ { 2 } + ( y - 1 ) ^ { 2 } + ( z + 7 ) ^ { 2 } = 81$