## Functions Modeling Change: A Preparation for Calculus, 5th Edition

$g(t)=3(t-2)^2+7=3(t^2-4t+4)+7=3t^2-12t+12+7=3t^2-12t+19$ This formula is in the form of $ax^2+bx+c$ and $a\ne0$, thus it is a quadratic function.