You can put this solution on YOUR website! Name the axis to which the major axis is parallel and find the center of
9(x + 1)^2 + 27(y - 1)^2 = 81
-------------
Divide thru by 81 to get:
(x+1)^2/9 + (y-1)^2/3 = 1
------------
Center at (-1,1)
Ellipse with major axis parallel to the x-axis.
Cheers,
Stan H.