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 $( - 1 , - 5 ) , ( 2,13 )$ , and $( 3,23 )$ .

A) $\mathrm { a } = 1 ; \mathrm { b } = 5 ; \mathrm { c } = - 1$
B) $\mathrm { a } = 1 ; \mathrm { b } = - 1 ; \mathrm { c } = 5$
C) $a = - 1 ; b = 5 ; c = - 1$
D) $a = - 1 ; b = - 1 ; c = 5$