Answer the Question $a , b$ , And $c$ So That the Graph of the Equation

Multiple Choice

Answer the question.
-Find $a , b$ , and $c$ so that the graph of the equation $y = a x ^ { 2 } + b x + c$ passes through the points $( 4,54 ) , ( 2,20 )$ , and $( 3,35 )$ .

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