At a birthday party, a guest is to launch a rocket. The height of the rocket above the ground can be described by the quadratic function f(x) = -2×2 + 8x where f is the height of the rocket in meters above the ground and x is the lateral distance from where the guest is standing and launching the rocket.
a) How far from the launch point does the rocket hit the ground?
b) How high does the rocket reach? Use an algebraic solution to solve the problem.
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