x^2 + y^2 − 4y = 32

we need to find the center and the radius of the circle

x2 + y2 − 4y = 32

x^2 + y^2 - 4y + 4 = 32 + 4

(x - 0)^2 + (y - 2)^2 = 6^2

thus the center is (0,2) and the radius is 6.

Now it is easy to graph the circle.