How to "bounce back" in "bounce ball" equations?

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How to "bounce back" in "bounce ball" equations?

Or "reverse the trajectory shape" after a hit?

http://reactorlab.net/resources-folder/matlab/pdf-link-folder/bouncing_ball_equations.pdf

I don't see whether they do it in the paper.

By looking the plots one'd guess that one takes the inverse function so that the shape reverses. However, I have no idea whether this is physically accurate way of doing it.