Kenneth is answering a quadratic modeling problem. He knows that a ball was thrown from an initial height of 5 feet in the air, and reached a maximum height of 35 feet, 2 seconds later. He wants to find out how high it is after 3 seconds. He uses the quadratic model of y=a(x-5)(x-2), because he thinks he should be using factored form, and he picks 5 and 2, since they're the easiest numbers. He solves for a, and gets 3.5. So, that would give him an upward-opening parabola, and at that point, he's fairly sure he made a mistake, since the ball should follow a path that is a downward-opening parabola. Determine Kenneth's mistake, and correctly find the quadratic function for the flight of the ball. Then, find its height after 3 seconds. The correct graph is shown. *