Solve the Problem $y = a x ^ { 2 } + b x + c$

Multiple Choice

Solve the problem.
-Find the equation of the parabola $y = a x ^ { 2 } + b x + c$ that passes through the points $( - 2,0 ) , ( 0 , - 4 )$ , and $( 3,3 )$ .

A) $y = - \frac { 7 } { 15 } x ^ { 2 } - \frac { 4 } { 15 } x - 7$
B) $y = \frac { 1 } { 5 } x ^ { 2 } - \frac { 8 } { 15 } x - \frac { 4 } { 3 }$
C) $y = \frac { 13 } { 15 } x ^ { 2 } - \frac { 4 } { 15 } x - 4$
D) $y = - \frac { 4 } { 15 } x ^ { 2 } + \frac { 13 } { 15 } x - 4$