Conic Sections, Standard Form
Conic Sections: Quadratic Relations
Conic Sections are quadratic polynomial relations. They can be put in the general form
for real number constants, A, B, C, D, E, and F.
Other activities explore why these are called conic sections and other activities explore the relations starting by controlling the coefficients above.
This activity explores parabolas, ellipses, and hyperbolas given in standard form.
Manipulate the controlling parameters via the sliders and/or input boxes.
The general formulas for each of the types of conic sections are given, along with the formula for that specific parabola, ellipse, or hyperbola with the chosen constants. The general form is given. c is the distance from the center to the foci in ellipses and hyperbolas. |p| is the distance from the vertex to the focus for a parabola. Related information is given in the window on the left.