To #1:

The general equation of a parabola opening up is:

The vertex of this parabola has the coordinates V(h, k) and the focus has the coordinates F(h, k+p)

To #2:

The general equation of an ellipse is:

The center of the ellipse has the coordinates C(h, k). The focal length e is measured on the main axis (the longest of the two axes) so that the focii have the coordinates (in your case!):

e is calculatedin your caseby