A series of free, online video lessons with examples and solutions to help Algebra students learn about conic sections: circles, ellipses, parabolas and hyperbolas.
We can easily identify a conic section by its formula. Conic section formulas have different identifiers. For example, a vertical parabola has a squared “x” term and single “y” term while a horizontal parabola has a single “x” term and a “y” squared term. An equation for a circle has a squared “x” term, a squared “y” term and identical coefficients.
This video explains how to determine if a given equation in general form is a circle, ellipse, parabola, or hyperbola.
The video introduces the four conic sections, circles, ellipses, hyperbolas, and parabolas and shows the standard form of their equations. Strong emphasis is placed on the effect of h and k values to the position of these conic sections. The graphing calculator is used in the video to check the standard form equations for the different conics.
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