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 $( - 3 , - 25 ) , ( 2,5 )$, and $( 3 , - 1 )$.
A) $a = 2 ; b = 4 ; c = 5$
B) $a = - 2 ; b = 5 ; c = 4$
C) $a = - 2 ; b = 4 ; c = 5$
D) $a = 2 ; b = 5 ; c = 4$

Question

Quizplus · Accepted Answer

To find the values of $a$, $b$, and $c$, we substitute the given points into the quadratic equation $y = ax^2 + bx + c$ and solve the system of equations. For $(-3, -25)$, we get $9a - 3b + c = -25$. For $(2, 5)$, we get $4a + 2b + c = 5$. For $(3, -1)$, we get $9a + 3b + c = -1$. Solving this system yields $a = -2$, $b = 4$, and $c = 5$.

Solve the Problem -Find the Values Of a,ba , ba,b , and C Such That the Graph of the Quadratic

Solve the Problem
-Find the Values Of $a , b$ , and C Such That the Graph of the Quadratic