Graph the circle using the given points. Then, write an equation of a circle. (3,0), G(5, -2), H(1, -2).

We first graph the three points given.
The centre of the circle seems to be located at the point (3,-2) and therefore, the radius is 2.
Then the equation of the circle is
[tex](x-3)^2+(y+2)^2=4[/tex]The graph of this equation exactly goes through these three points as shown in the figure below.