Equation

A ball is launched from ground level and forms a parabolic path based on the function f(x) = -.2x² + x + 3

What is the horizontal distance the ball travels from launch to touch down?

This is a parabola and the horizontal axis is the ground. Set f(x) = -.2x² + x + 3 = 0 and solve using the quadratic formulae.
The ball is at ground level at approximately x = -2.1 and 7.1
The distance between them is the sum of their absolute value |-2.1| + |7.1| = 9.1

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