Answer
multiple answers; see details
Work Step by Step
The graph of $
(x-1)^2+(y-2)^2=4
$ is a circle with the following properties:
\begin{array}{l}
\text{Center: }(
1,2
),\\\\\text{Radius: }
2
.\end{array}
Using the properties above, the graph of the given equation is shown below.