In a certain ellipse, the center is at $(-3,1),$ one focus is at $(-3,0),$ and one endpoint of a semi-major axis is at $(-3,3).$ Find the semi-minor axis of the ellipse.
The distance between the center and the focus (-3,0) is 1 Also, the semi-major axis is the distance between the center and the endpoint of the semi-major axis, which is Then the semi-minor axis is b=\sqrt{a^2-c^2}=\sqrt{3}