Answer
See graph
Work Step by Step
$$x^2+y^2-4x-8y-2=0$$
$$x^2+y^2-4x-8y=2$$
$$x^2-4x+4+y^2-8y+16=2+4+16$$
$$(x-2)^2+(y-4)^2=22$$
The center is (2,4) and the radius is $\sqrt{22}$.
Points to plot are:
$$(2+\sqrt{22},4)$$
$$(2-\sqrt{22},4)$$
$$(2,4+\sqrt{22})$$
$$(2,4-\sqrt{22})$$
Approximate these values with a calculator, plot these points and connect with a circle.
