Shane Bechler is about to punt the ball. Let "t" represent the # of seconds from the moment his foot constacts the football. The height of the ball when Lechler makes contact is 4 feet. After one seconds, the ball has reached a height of 44 feet and after two seconds, the ball has reached a height of 52 feet. Hint: h(t) = -16t^2 + vt + h should not be used.
a. Write a quadratic function in standard form for the information given.
b.After how many seconds does the football reach its maximum height and what is the height?
P.S. I tried to work this problem using my TI 84 Calculator by finding the Quadratic regression but it is in the same form as the hint, but I can't use that form. So help me out...I'm really confused. How would I work this problem out?