MATH 251 Unit 12.6

z = x²

Parabolic Cylinder

x² + y² = 4

Circular Cylinder

z = x² + y²

Elliptic Paraboloid

z² = x² + y²

Circular Cone

x² + y² + z² = 1

Sphere

x²/a² + y²/b² + z²/c² = 1

Ellipsoid

x²/a² + y²/b² - z²/c² = 1

Hyperboloid of One Sheet

-x²/a² - y²/b² + z²/c² = 1

Hyperboloid of Two Sheets

z/c = x²/a² - y²/b²

Hyperbolic Paraboloid

x² + z² = 3

Circular Cylinder

-x² + 8y² - z² = 8

Hyperboloid of Two Sheets

2x² - 8y² + z² = 8

Hyperboloid of One Sheet

x² = 16y² + z²

Elliptic Cone

x = y² + 5z²

Elliptic Paraboloid

y² + 4z² = 4

Elliptic Cylinder

16x² + 9y² + 9z² = 144

Ellipsoid

z = 2 - y²

Parabolic Cylinder

4x² - y² + 3z² = 0

Elliptic Cone

9x² + 3y² + z = 0

Elliptic Paraboloid

x² + 16y² + 25z² = 1

Elliptic Sphere