The water from an outdoor fountain follows a path that is shaped like a parabola. The arch created by the water is 32 inches wide and 27 inches high. 1. Use the description of the fountain to label the three points on the graph, modeling the path of the water 2. Find a quadratic function, , that models the water height. 3. If the arch were 32 inches wide but 44 inches high, how could you modify your function to model the new arch? Explain or show your reasoning.
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The water from an outdoor fountain follows a path that is shaped like a parabola. The arch created by the water is 32 inches wide and 27 inches high.
1. Use the description of the fountain to label the three points on the graph, modeling the path of the water
2. Find a quadratic function, , that models the water height.
3. If the arch were 32 inches wide but 44 inches high, how could you modify your function to model the new arch? Explain or show your reasoning.
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