Use a System of Equations to Find the Specified Equation $y = a x ^ { 2 } + b x + c$

Multiple Choice

Use a system of equations to find the specified equation that passes through the points. Solve the system using matrices.
Parabola: $y = a x ^ { 2 } + b x + c$

A) $y = x ^ { 2 } - 3 x + 4$
B) $y = - x ^ { 2 } - 3 x + 1$
C) $y = - x ^ { 2 } + 3 x + 4$
D) $y = - x ^ { 2 } + 3 x + 1$
E) $y = - x ^ { 2 } - 2 x + 1$