Answer
Domain: The set of all real numbers.
Range: $(\infty , 4]$
Work Step by Step
The graph in the problem shows that the parabola opens downward and has its vertex at the point $(h,k)= (-1,4)$. This is the maximum point of the parabola since it faces downward. The domain and range of the function are given below.
Domain: The set of all real numbers.
Range: $(\infty , 4]$