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 $f ( x ) = 0$ .
-A grasshopper is perched on a reed 5 inches above the ground. It hops off the reed and lands on the ground about 7.9 inches away. During its hop, its height is given by the equation $$h = - 0.3 x ^ { 2 } + 1.75 x + 5$$ , where x is the
Distance in inches from the base of the reed, and h is in inches. How far was the grasshopper from the base of
The reed when it was 3.25 inches above the ground? Round to the nearest tenth.

A) 0.9 in.
B) 6.7 in.
C) 7.9 in.
D) 1.3 in.