a) Graph the quadratic function h(x) = -6(x - 1)2 + 6. b) How far from the nozzle should the underwater lights be placed? Explain your reasoning. 2. You can control the height and horizontal distance of the jet of water by changing the water pressure. Suppose that the quadratic function h(x) = -x2 + 12x models the path of a jet of water at maximum pressure. The quadratic function h(x) = -3x2 + 12x models the path of the same jet of water at a lower pressure. a) Graph these two functions on the same set of axes as in step 1. b) Describe what you notice about the x-intercepts and height of the two graphs compared to the graph in step 1. c) Why do you think the x-intercepts of the graph are called the zeros of the function? Reflect and Respond 3. a) If the water pressure in the fountain must remain constant, how else could you control the path of the jets of water? b) Could two jets of water at constant water pressure with different parabolic paths land on the same spot? Explain your reasoning. Did You Know?ing Quadratic Equations by Graphing 1. Each water fountain jet creates a parabolic stream of water. You can represent this curve by the quadratic function h(x) = -6(x - 1)2 + 6, where h is the height of the jet of water and x is the horizontal distance of the jet of water from the nozzle, both in metres. nozzle light X