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 ball is thrown downward from a window in a tall building. The distance traveled by the ball in t seconds is $$\mathrm { s } = 16 \mathrm { t } ^ { 2 } + 32 \mathrm { t }$$ where s is in feet. How long (to the nearest tenth) will it take the ball to fall 230 feet?

A) 2.7 sec
B) 2.9 sec
C) 3.8 sec
D) 8.4 sec