Water coming out from a fountain is modeled by the function f(x) = -x2 + 6x + 7 where f(x) represents the height, in feet of the water from the fountain at different times x, in
seconds.
a. Find the zeros of the functions.
b. Find the vertex of the quadratic function. (2 points)
c. Determine the domain of f(x) (1 point) (Hint the time is only positive)
d. Determine the range of f(x) (1 point) (Hint remember to check the vertex)
e. Calculate the average rate of change of f(x) from X = 1 to x = 3 then explain what it
represents. (2 points)
f. Find the vertex form for f(x). (2 points)