Find an Equation of the Form $y = a x ^ { 2 } + b x + c$

Multiple Choice

Find an equation of the form $y = a x ^ { 2 } + b x + c$ that defines the parabola through the three noncollinear
points given.
- $$( 0 , - 5 ) , ( - 3 , - 2 ) , ( 2,13 )$$

A) $y = - 5 x ^ { 2 } - 2 x + 13$
B) $y = 2 x ^ { 2 } - 3 x$
C) $y = 5 x ^ { 2 } + 2 x - 5$
D) $y = 2 x ^ { 2 } + 5 x - 5$