front 1 (x^2/a^2) + (y^2/b^2) + (z^2/c^2) = 1 | back 1 Ellipsoid *All signs are positive *Always =1 |
front 2 (x^2/a^2) + (y^2/b^2) - (z^2/c^2) = 1 | back 2 Hyperboloid of one sheet *Two signs are positive, one is negative *Always =1 |
front 3 (x^2/a^2) - (y^2/b^2) - (z^2/c^2) = 1 | back 3 Hyperboloid of two sheets *One sign is positive, two are negative *Always =1 |
front 4 (x^2/a^2) + (y^2/b^2) - (z^2/c^2) = 0 | back 4 Elliptic Cone *Two signs are positive, one is negative *Always =0 |
front 5 z = (x^2/a^2) + (y^2/b^2) | back 5 Elliptic Paraboloid *Both signs are either positive or negative *Z is always a single variable |
front 6 z = (x^2/a^2) - (y^2/b^2) | back 6 Hyperbolic Paraboloid *One sign is positive, the other is negative *Z is always a single variable |