Chapter 4 - Quadratic Functions - 4.2 Graphing Quadratics in Vertex Form - 4.2 Exercises - Page 320: 46

Domain: The set of all real numbers. Range: $[-8 , \infty )$

The graph in the problem shows that the parabola opens upward and has its vertex at the point $(h,k)= (-4,-8)$. This is the minimum point of the parabola since it faces upward. The domain and range of the function are given below. Domain: The set of all real numbers. Range: $[-8 , \infty )$