A shot-putter throws a shot and its height is noted every 20 feet, the data is in the table below:

Feet Traveled Feet Above Ground

20 25
40 40
60 55
80 65
100 71
120 77
140 77
160 75
180 71
200 64

Please find the quadratic function of best fit for these data and, to the hundredths place, say what height, in feet, the shot started its flight.