Answer
See graph
Work Step by Step
Given $$\begin{aligned}
g(t) &= 0.5t^2.
\end{aligned}$$ The vertex of the function is $(h,k)=(0,0)$.
We determine the vertical intercept: $$g(0)=0.5(0^2)=0.$$ The vertical intercept is $(0,0)$.
We use two symmetrical points: $(-2,2)$ and $(2,2)$.
The graph of the function is shown below.