Question

major axis vertical length 12, length of minor axis=8, center at (-4,6) . find the standard form of the equation of the ellipse satisfying the coordinates

Answer 1

Where "a" and "b" are the semi-axis lengths in the x- and y-directions, respectively, the general form of the equation for an ellipse centered at (h, k) can be written as
  (x-h)²/a² + (y-k)²/b² = 1

Substituting your given values of a=4, b=6, h=-4, k=6, your equation is
  (x+4)²/16 + (y-6)²/36 = 1