The major axis of the ellipse lies on the line y=3 and has length 6; the minor axis lies on the line x=–4 and has length 4;

Answer 1

Clearly the center is at (-4,3)

That means you have an ellipse with
a = 6/2 = 3
b = 4/2 = 2, so its equation is

(x+4)^2/3^2 + (y-3)^2/2^2 = 1