Apumpkin is launched from the ground into the air and lands 4.5 s later. It reaches a maximum height of 81 ft.

a.Wite a quadratic function that models the height, in feet, of the pumpkin x seconds after it is launched. Explain how you found the function.

b. A second pumpkin is launched from the ground After 1 second, it is 64 feet high. The pumpkin lands after 5 seconds. What is the maximum height of the pumpkin? Explain. ​