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)

Jose is going to use a random number generator 500500 times. each time he uses it, he will get a 1, 2, 3,1,2,3, or 44.

This graph shows which inequality? a ≤ –3 a > –3 a ≥ –3 a < –3

Our star pitcher, foster enlight, can throw a pitch so fast that it gets to the catcher’s mitt before it leaves foster’s fingers! if the team wins a game then the probability that foster was pitching is 0.8 but only if foster had at least one day’s rest since his last pitching assignment. if foster does not have a day off and the team still wins, the probability that foster was pitching drops by half of what it was on the previous day. if the team wins three games in succession from the toronto tachyons and foster pitched in game #2, what is the probability that he pitched in one or more of the other games? (assume that foster did not pitch on the day before the first game of this three game series.)