11.6 Surfaces in Space Day 1 – Quadratic surfaces

Ellipsoid Example

Hyperboloid of One Sheet

Hyperboloid of Two Sheets

Elliptic Cone

Elliptic Paraboloid

Hyperbolic Paraboloid

Example 2 Classify and sketch the surface

Example 3 Classify and sketch the graph

z x y

Example 4 Classify and sketch the surface given by

Solution to example 4 Center (2,-1,1) Larger graphic on the next slide

Recall To draw surfaces on a TI89 Calculator Press mode and change graph from function to 3D Q: Did you hear about the statistician who invented a device to measure the weight of trees? A: It's referred to as the log scale.

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