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6.9: General Forms of Conic Sections

Difficulty Level: At Grade Created by: CK-12
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Vocabulary

TermDefinition
tangent A line that intersects a circle in exactly one point.
Completing the Square Completing the square is a common method for rewriting quadratics. It refers to making a perfect square trinomial by adding the square of 1/2 of the coefficient of the x term.
Conic Conic sections are those curves that can be created by the intersection of a double cone and a plane. They include circles, ellipses, parabolas, and hyperbolas.
Ellipse Ellipses are conic sections that look like elongated circles. An ellipse represents all locations in two dimensions that are the same distance from two specified points called foci.
Ellipses Ellipses are conic sections that look like elongated circles. An ellipse represents all locations in two dimensions that are the same distance from two specified points called foci.
hyperbola A hyperbola is a conic section formed when the cutting plane intersects both sides of the cone, resulting in two infinite “U”-shaped curves.
Parabola A parabola is the characteristic shape of a quadratic function graph, resembling a "U".
Tangent line A tangent line is a line that "just touches" a curve at a single point and no others.

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Difficulty Level:
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Date Created:
Nov 01, 2012
Last Modified:
Aug 11, 2016
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