Find an Equation of the Parabola That Has a Vertex $( - 5 , - 7 )$

Multiple Choice

Find an equation of the parabola that has a vertex at $( - 5 , - 7 )$ and whose graph passes through the point $( - 6 , - 10 ) .$

A) $y = 3 ( x + 7 ) ^ { 2 } - 5$
B) $y = - 3 ( x + 5 ) ^ { 2 } - 7$
C) $y = 3 ( x - 5 ) ^ { 2 } - 7$
D) $y = - 3 ( x + 5 ) ^ { 2 } + 7$
E) $y = 3 ( x + 5 ) ^ { 2 } + 7$