Model the path of motion with: y = a x² + b x + c

Substitution of (0,0) for x and y gives: c = 0.

Likewise, x intercept (16,0) and vertex (8,16) yield:

0 = a 16² + b 16 + c and 16 = a 8² + b 8 + c.

So b = 4 and a = - (1/4).

And then we have: y = - (1/4) x² + 4 x

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