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

Find the equation of the parabola $y = a x ^ { 2 } + b x + c$ that passes through the points. $( - 1,4 ) , ( 0,4 ) , ( 1,0 )$ ?

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

Correct Answer:

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