# How do you find the domain and range of #f(x) = -7(x - 2)^2 - 9#?

##### 1 Answer

Domain:

Range: (-00, -9]

#### Explanation:

Right now, this equation is in *vertex form*. That is really useful, because it tells us the *vertex*, which is either the maximnum or the minimum, depending on whether the graph is flipped or not.

gives us a vertex of

or

That's our vertex, and thanks to the negative (

the minimum, it is our **maximum**

So, the range is easy to figure out from here:

The highest point it will be is at

The domain is not restricted. So, from left to right, the graph extends forever. Thus, the domain is