Answer
See below.
Work Step by Step
$h(t)=-16(t-3)(t+1)=-16(t^2+t-3t-3)=-16(t^2-2t-3)=-16t^2+32t+48$
This formula is in the form of $ax^2+bx+c$ and $a\ne0$, thus it is a quadratic function.
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