Answer
See graph
Work Step by Step
$$x^2+y^2-8y+5=0$$
$$x^2+y^2-8y=-5$$
Complete the square.
$$x^2+y^2-8y+16=-5+16$$
$$x^2+(y-4)^2=11$$
This is a circle with center (0,4) and a radius of length $\sqrt{11}$.
Points are:
$$(\sqrt{11},4)$$
$$(-\sqrt{11},4)$$
$$(0,4+\sqrt{11})$$
$$(0,4-\sqrt{11})$$
Approximate these values using a calculator, plot on a graph, and connect with a circle.
