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# 6.7: Hyperbolas and Asymptotes

Difficulty Level: At Grade Created by: CK-12
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Practice Hyperbolas and Asymptotes

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### Vocabulary Language: English

Asymptotes

An asymptote is a line on the graph of a function representing a value toward which the function may approach, but does not reach (with certain exceptions).

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.

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 set of points that are equidistant from a fixed point on the interior of the curve, called the '''focus''', and a line on the exterior, called the '''directrix'''. The directrix is vertical or horizontal, depending on the orientation of the parabola.

perpendicular hyperbola

A perpendicular hyperbola has asymptotes that intersect at a $90^{\circ}$ angle.

unbounded

To be unbounded means to be so large that no circle, no matter how large, can enclose the shape.

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