Answer
See graph
Work Step by Step
Given $$\begin{aligned}
f(x) &= -1.5x^2.
\end{aligned}$$ The vertex of the function is $(h,k)=(0,0)$.
We determine the vertical intercept: $$f(0)=-1.5(0^2)=0.$$ The vertical intercept is $(0,0)$.
We use two symmetrical points: $(-2,-6)$ and $(2,-6)$.
The graph of the function is shown below.