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. a. Use the description of the fountain to label the three points on the graph, modeling the path of the water. b. If Paul used the function W(x) = - x (x - 32) to model the path of the water, his graph would match the x-intercepts, but it would have a vertex height that's too tall. a. Calculate Paul's current vertex height W(16) b. What vertical scalar "a" would Paul need to use so his equation would match the fountain's coordinates? Show your work. C.Use your answers and information from above to write a quadratic function, W, that models the water height
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.
a. Use the description of the fountain to label the three points on the graph, modeling the path of the water.
b. If Paul used the function W(x) = - x (x - 32) to model the path of the water, his graph would match the x-intercepts, but it would have a vertex height that's too tall.
a. Calculate Paul's current vertex height W(16)
b. What vertical scalar "a" would Paul need to use so his equation would match the fountain's coordinates? Show your work.
C.Use your answers and information from above to write a quadratic function, W, that models the water height.
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