### Concept (1)

A hyperbola is a type of conic section that is formed by intersecting a cone with a plane, resulting in two parabolic shaped pieces that open either up and down or right and left. Similar to a parabola, the hyperbola pieces have vertices and are asymptotic. The hyperbola is the least common of the conic sections.

### Sample Problems (5)

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Graph:

 y² − x² = 1 25
transverse?
Foci?
conjugate?
###### Problem 1
How to graph a hyperbola.

Give the equation for a hyperbola with vertices at (0,±4) and covertices at (±3,0).

###### Problem 2
How to find the equation for a hyperbola given the vertices and co-vertices.
###### Problem 3
Graphing a hyperbola centered at the origin using the asymptotes.
###### Problem 4
Finding the foci of a hyperbola centered at the origin.
###### Problem 5
Using the foci and vertices to write the equation of a hyperbola centered at the origin.