# How do you use shifts and reflections to sketch the graph of the function #f(x)=-sqrt(x-1)+2# and state the domain and range of f?

##### 1 Answer

Dec 16, 2017

Transformations below.

The domain of

#### Explanation:

Consider the "parent" graph

graph{sqrtx [-10, 10, -5, 5]}

The graph of

Step1.

Step2.

Step3. Leading

To produce:

graph{-sqrt(x-1)+2 [-2.05, 10.436, -2.995, 3.25]}

As can be deduced from the graph above, the domain of