Activity: Quadratic forms
- Author:
- Juan Carlos Ponce Campuzano
Consider the quadratic equation of the form , where . Graphs of quadratic equations are known as conic sections. By means of a rotation of the plane about the origin, a translation of the plane, or both, it is possible to represent every conic in a simplified standard, or canonical, form.
With the following simulation you can observe the rotation and translation of the axes in order to put a conic in standard position. It also provides the equation of the conic in the final coordinate system.
New Resources
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- Generating two different uniformly distributed points on a sphere using one uniform distribution: Biscribed Truncated Icosahedron V=60.
- Five pointed Star and Star of David inscribed in a Rectified Truncated Icosahedron.
- Investigating Angles
- An ellipse inside a convex hexagon