Quadratic Modeling MTH 122 1) The Reduce-Gravity Program at NASA provides astronauts with a "weightless" or "zero-g environment for tests and training. The program uses a specially modificd KC-1 35A turbo jet transport that flies on a parabolic path along the data given in the table Time, , seconds A, thousands of feet 20 32 45 60 26 31 32.5 30 25 a) Find a quadratic function glt), where A-glt), that best models the entire data set. b) Use your function to predict the altitude at 80 scconds. Write a sentence, including units, to explain your answer in the context of the problem. Use your function to find the time(s) when the altirude of the plane is 20,000 feet. Write a sentence, including units, to explain your answer in the context of the problem. c) d) Find the vertex of your model. Explain its meaning, including units, in the context of the