Graph the circle x2 + y2 - 12x + 6y +36 =0

And we can complete the squares like this:

And we got:

And we have a circle with radius r =3 and the vertex would be;

The graph is on the figure attached.

Step-by-step explanation:

For this case we have the following expression:

And we can complete the squares like this:

And we got:

And we have a circle with radius r =3 and the vertex would be;

The graph is on the figure attached.