Answer
See graph
Work Step by Step
$$x^2+y^2+2x-4y=4$$
Complete the square.
$$x^2+2x+1+y^2-4y+4=4+1+4$$
$$(x+1)^2+(y-2)^2=9$$
The center is (-1,2) and the radius is 3.
Points to plot are:
$$(2,2)$$
$$(-4,2)$$
$$(-1,5)$$
$$(-1,-1)$$
Plot these points and connect with a circle.