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# 6.9: General Forms of Conic Sections

Difficulty Level: At Grade Created by: CK-12
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Practice General Forms of Conic Sections

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Estimated11 minsto complete
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Estimated11 minsto complete
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### Vocabulary Language: English Spanish

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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