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 $f ( x ) = 0$ .
-If an object is propelled upward from a height of 96 feet at an initial velocity of 64 feet per second, then its height after t seconds is given by the equation $$h = - 16 t ^ { 2 } + 64 t + 96$$ , where h is in feet. After how many seconds
Will the object reach a height of 160 feet?

A) 1 sec
B) 4 sec
C) 8 sec
D) 2 sec