Solve the Problem $x ^ { 2 } = - 12 y$

Multiple Choice

Solve the problem.
-The parabola $x ^ { 2 } = - 12 y$ is shifted down 6 units and right 3 units. Find an equation for the new parabola and find the new vertex.

A) $( x - 3 ) ^ { 2 } = - 12 ( y + 6 )$ ; vertex; $( 3 , - 6 )$
B) $( y + 6 ) ^ { 2 } = - 12 ( x - 3 )$ ; vertex; $( - 6,3 )$
C) $( x + 6 ) ^ { 2 } = - 12 ( y - 3 )$ ; vertex; $( - 6,3 )$
D) $( x + 3 ) ^ { 2 } = - 12 ( y - 6 )$ ; vertex; $( 3 , - 6 )$