# What is the domain and range of #F(x) = -2(x + 3)² - 5#?

##### 1 Answer

Domain:

Range:

#### Explanation:

so the Domain of

is a quadratic in vertex form with vertex at

and the negative coefficient of

therefore

Alternative way of seeing this:

therefore

and

Second alternative

consider the graph of this function:

graph{-2*(x+3)^2-5 [-17.42, 5.08, -9.78, 1.47]}