Quadric Surfaces

Math 3335

Helmut  Knaust - Department of Mathematical Sciences, University of Texas at El Paso, hknaust@utep.edu
9/12/16

Hyperboloid of one sheet

Example:	((x^2)/4)+((y^2)/9)-((z^2)/1)=1

Plot3D[{Sqrt[x^2/4+y^2/9-1],-Sqrt[x^2/4+y^2/9-1]},{x,-4,4},{y,-4,4},BoxRatios->{1,1,1.2},ImageSize->300,AxesLabel->{x,y,z},RegionFunction->Function[{x,y,z},x^2/4+y^2/9<1.7]]

Hyperboloid of two sheets

Example:	((x^2)/4)-((y^2)/9)-((z^2)/1)=1

Plot3D[{Sqrt[x^2/4-y^2/9-1],-Sqrt[x^2/4-y^2/9-1]},{x,-9,9},{y,-9,9},ImageSize->400,AxesLabel->{x,y,z}]

Hyperbolic Paraboloid (aka Saddle)

Example:	((x^2)/4)-((y^2)/9)=(z/5)

Plot3D[5x^2/4-5y^2/9,{x,-4,4},{y,-4,4},AxesLabel->{x,y,z},ImageSize->400]