Solve the Problem $a$ $b$ , And $c$ Such That the Graph of the Quadratic Equation

Multiple Choice

Solve the problem.
-Find the values of $a$ , $b$ , and $c$ such that the graph of the quadratic equation $y = a x ^ { 2 } + b x + c$ passes through the points $( - 3,5 ) , ( 1,1 )$ , and $( 2 , - 5 )$ .

A) $a = 1 ; b = - 3 ; c = 5$
B) $a = 1 ; b = 5 ; c = - 3$
C) $a = - 1 ; b = 5 ; c = - 3$
D) $a = - 1 ; b = - 3 ; c = 5$