8-44. 8-45. 8-46. 8-47. Write a polynomial equation for a function with a graph that bounces off the z-axis at (1, 0), crosses it at (4, 0), and goes through the point (2, 18). Armando comes up with the equation y = 3(z + 1)* (z4) for problem 8-44. Does his equation fit all of the given criteria? Why or why not? Is it the same as the equation you came up with? What if problem 8-44 had said that the polynomial function was of degree three and the graph also went through the point (1,36)? Is there still more than one possible equation? Explain. What information about the graph of a polynomial function is necessary to determine exactly one correct equation? Discuss this with your team