5.) Using the three coordinates from problem 4, create a parabolic model H(x) in the standard form H(x)=ax+ bx+c for the path of your object where H(x) is the height when the object is x units from the thrower. (15 points) a. List the three equations that your three chosen points produced. (5 pts) b. Solve these three equations for a, b, and c and write your parabolic model. (10 pts) 6.) Set your model from problem 5 to zero and solve by using the quadratic formula. You will have 2 solutions. (10 pts) a. One of these solutions should be very close to your measurement in problem 2. How accurate was your model? (If your model's solution estimate and your actual measurement from problem 2 are not close, you made a mistake somewhere and must correct it before proceeding). (5 pts) b. What is the meaning behind the other solution? (5 pts) 7.) Without regard to the context of your parabolic model, what is the mathematical domain of your model and what should you restrict it to for it to be a practical estimator of the path of your object? Why did you choose this restriction? (5 pts)