Question: Water flowing from a horizontal pipe 48 feet above the ground has the shape of a parabola whose vertex (0, 48) is at the end

Water flowing from a horizontal pipe 48 feet above the ground has the shape of a parabola whose vertex (0, 48) is at the end of the pipe (seefigure). The water strikes the ocean at the point (10 ˆš 3, 0).

40 30 48 ft 20 10 10 20 30 40

(a) Find the standard form of the equation that represents the path of the water.
(b) The pipe is moved 12feet up. Find an equation that represents the path of the water. Find the coordinates of the point where the water strikes the ocean.

40 30 48 ft 20 10 10 20 30 40

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