Radius ##r=2## ##(x+2)^2+(y-1)^2=4## It is not tangent to the x-axis

Given :Center ##(h, k)=(-2, 1)##

It is tangent to the y-axis, therefore, the y-axis is perpendicular to the radius. A radius and the y-axis intersects at ##(0, 1)## and this point is 2 units away from the center.

then, Radius ##r=2##

Have a nice day !!! from the Philippines..