Answer
Domain $=(-\infty,\infty)$.
Range $=(-\infty,-4]$.
Work Step by Step
The given vertex is $(-3,-4)$.
Since the parabola opens downward, the vertex will be the highest point.
Domain is the possible input values.
Domain $=(-\infty,\infty)$.
Range is the possible output values.
Maximum value is $-4$.
Range $=(-\infty,-4]$.