Solve the Problem $( - 4,4 )$ , Passing Through the Point

Multiple Choice

Solve the problem.
-Find the equation of a circle with center at $( - 4,4 )$ , passing through the point $( 2,12 )$ . Write it in center-radius form.

A) $( x - 4 ) ^ { 2 } + ( y + 4 ) ^ { 2 } = 10$
B) $( x + 4 ) ^ { 2 } + ( y - 4 ) ^ { 2 } = 100$
C) $( x + 4 ) ^ { 2 } + ( y - 4 ) ^ { 2 } = 10$
D) $( x - 4 ) ^ { 2 } + ( y + 4 ) ^ { 2 } = 100$