Solve the Problem $y ^ { 2 } = - 10 x$

Multiple Choice

Solve the problem.
-The parabola $y ^ { 2 } = - 10 x$ is shifted down 5 units and left 7 units. Find an equation for the new parabola and find the new vertex.

A) $( y + 7 ) ^ { 2 } = - 10 ( x + 5 )$ ; vertex; $( - 5 , - 7 )$
B) $( y + 5 ) ^ { 2 } = - 10 ( x + 7 )$ ; vertex; $( - 7 , - 5 )$
C) $( y - 5 ) ^ { 2 } = - 10 ( x - 7 ) ;$ vertex; $( - 7 , - 5 )$
D) $( y - 7 ) ^ { 2 } = - 10 ( x - 5 )$ ; vertex; $( - 5 , - 7 )$