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. ?? $( 0,5 ) , ( 1,6 ) , ( 2,5 )$ ?

A) ? $x ^ { 2 } + 2 x + 5$
B) ? $- x ^ { 2 } - 2 x - 5$
C) ? $- x ^ { 2 } - 2 x + 5$
D) ? $- x ^ { 2 } + 2 x + 5$
E) ? $- x ^ { 2 } + 2 x - 5$

Correct Answer:

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