Answer
See graph
Work Step by Step
$$x^2-10y+y^2+4=0$$
$$x^2+y^2-10y=-4$$
Complete the square.
$$x^2+y^2-10y+25=-4+25$$
$$x^2+(y-5)^2=21$$
This is a circle with center (0,5) with a radius of $\sqrt21$.
Points are:
$$(\sqrt21,5)$$
$$(-\sqrt21,5)$$
$$(0,5+\sqrt21)$$
$$(0,5-\sqrt21)$$
Approximate these values using a calculator, plot on a graph, and connect with a circle.
