You Are Given a Graph of a Function of the Form

Multiple Choice

You are given a graph of a function of the form $f ( x ) = a x ^ { 2 } + b x + c$ for different values of $a , b$ , and $c$ . For this function,
a. Determine whether the discriminant is positive, negative, or zero.
b. Determine if there are 0,1 , or 2 real solutions to $f ( x ) = 0$ .
c. Solve the equation $f ( x ) = 0$ .
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A) a. positive
b. 2
C. $x = 1 , x = 2$

B) a. zero
b. 2
c. $x = - 1 , x = 2$

C) a. negative
b. 2
c. $x = - 1 , x = - 2$

D) a. positive
b. 2
c. $x = - 1 , x = 2$