This demo lets you study a family of quadratic functions \( f(x,y) = \frac{1}{2}(ax^2 + 2bxy + cy^2)\). Recall that we can determine which of the 6 equivalence classes \(f\) belongs by the sign of the discriminant \(\Delta = ac - b^2\) and the sign of \(a\).

With the current technology, in order to use this demo, you need a CDF Player Plugin for your web browser. You can download it for free from Wolfram. Unfortunately, this cannot be run on any mobile devices. (I really want this, Wolfram.)

By Nics Theerakarn.

This work is licensed under a Creative Commons Attribution-ShareAlike 3.0 Unported License.