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

question 178

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) \(( x + 4 ) ^ { 2 } + ( y - 1 ) ^ { 2 } + ( z + 7 ) ^ { 2 } = 81\)

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