Question

Help!
a man throws a ball off the top of a building and records the height of the ball at different times as shown in the table: Height of the ball

time (s) Height (feet)
0 46
1 63
2 48
3 1

a. Find a quadratic model for the data
b. Use the model to estimate the height of the ball at 2.5 seconds
c. What is the ball's maximum height?

Answer 1

My teacher told me the answers for these but I'm lost as to how to get the answers. She said the answers were:
a. y= -16x^2 + 33x +46, where x is the number of seconds after release and y is the height in feet.
b. 28.5 feet
c. about 63 feet