# What is the range of the function f(x)= -6(x+4)^2-12?

Mar 28, 2018

See explanation.

#### Explanation:

The graph of the function is:

graph{-6(x+4)^2-12 [-12.66, 12.65, -15, 0.5]}

From the graph we can see that it takes all values smaller than or equal to $- 12$, so the range of the function is:

r=<-12;+oo)