Chapter 6 – Conic Sections

Topic 6.5
Completing the Square

Completing the Square covers the technique to convert the general form of a conic section to standard form. The process here does not involve any memorization, instead focusing on the final form from the beginning, and retroactively supplying missing constants from the desired factors. Three examples are shown (circle, parabola, hyperbola). Knowledge of conic sections is reviewed early in the lesson.

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Trigonometry by Mike Weimerskirch and the University of Minnesota Board of Regents is licensed under a Creative Commons Attribution-NonCommercial 4.0 International License, except where otherwise noted.