Question

How do you graph `(x-2)^2+(y-1)^2=4`?

Answer 1

This is a circle, center `(2,1)` and radius `=2`

Explanation:

The general equation of a circle is

`(x-a)^2+(y-b)^2=r^2`

The center is `(a,b)` and the radius is `r`

`(x-2)^2+(y-1)^2=2^2`

This is a circle, center `(2,1)` and radius `=2`

Mark the center at `(2,1)` then with a compass draw a circle of radius `2`

graph{(x-2)^2+(y-1)^2=4 [-5.847, 6.637, -1.98, 4.26]}