Chapter 4 - Quadratic Functions - 4.2 Graphing Quadratics in Vertex Form - 4.2 Exercises - Page 320: 57

Domain: All real numbers. Range: $(-\infty , 0]$

Given $$ f(x) = -2(x+4)^2.$$ The parabola opens downward as we can see from the graph. Its vertex gives the maximum point. The domain and range are given by: Domain: All real numbers. Range: $(-\infty , 0]$.