Hal's plan is to launch himself from the sling and follow a trajectory given by the function y=-5x2-2x+16. For this function, when y=0, Hal is on the ground. Answer each of the questions below (4 points each). Be sure to show your work for all calculations or you will receive no credit. 1.Factor Hal's flight plan. 2.From what point did Hal launch (lower x-value)? Give the coordinates. 3. Where does he land (higher x-value)? Give the coordinates. 4. What is the maximum height he achieves? 5. The blueprints for Hal's pig pen is a rectangular pen. However, Hal knows how filthy these pigs are and how they love to be muddy. So Hal decides to build his pig pen so that one side is blocked by a river. Those filthy pigs wouldn't dare get in the river because they would get clean. He has 140 yards of fencing. What dimensions would Hal need to maximize the area for the pigs? 6.What is the area of Hal's pig pen in square feet?