# How do you find the domain and range of #f(x)=(x-1)^2 +2#?

##### 1 Answer

The domain is all real numbers

The range is

#### Explanation:

The easiest way to find the domain and range of a quadratic function is to look at the graph.

The general equation of a parabola in vertex form is

A positive

The vertex of this example is then

The domain is found by considering all the possible values of

Looking at the graph, you can see that

The range is found by considering all the possible values of

There are no values of

graph{(x-1)^2+2 [-10.12, 9.88, -2.4, 7.6]}