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Parabola
x² = 4py
Ellipse
x²/a² + y²/b² = 1
Hyperbola
x²/a² - y²/b² = 1
Ellipsoid
x²/a² + y²/b² + z²/c² = 1
Elliptical Paraboloids
x²/a² + y²/b² = z/c
Hyperbolic Paraboloids
x²/a² - y²/b² = z/c
Elliptical Cones
x²/a² + y²/b² = z²/c²
Hyperboloid of 1 Sheet
x²/a² + y²/b² - z²/c² = 1
Hyperboloid of 2 Sheets
x²/a² - y²/b² - z²/c² = 1
Elliptical Paraboloid
y = x²+z²
Hyperboloid of 2 Sheets
y² = x² + z² + 1
Hyperboloid of 1 Sheet
y² = x² + z² - 1
Hyperbolic Paraboloid
y = x² - z²
Elliptical Paraboloid
z = 25 - x² - y²