algebra - hyperboles

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8 Terms

1
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hyperbolas

  • shaped by 2 asymptotes

<ul><li><p>shaped by 2 asymptotes</p></li></ul><p></p>
2
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transverse axis

  • connects the vertices

3
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vertices of hyperbola

  • a units from center on transverse axis

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foci

  • c units from center along transverse axis

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asymptotes

  • go through center and guide shape of hyperbola

  • intersect at center of hyperbola (h,k)

  • if horizontal transverse axis, asymptote slope = ± b/a

  • if vertical transverse axis, asymptote slope = ± a/b

6
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horizonal hyperbola standard form

  • asymptotes: y-k = ± b/a (x-h)

  • if x is over a, then transverse axis is horizontal

<ul><li><p>asymptotes: y-k = ± b/a (x-h)</p></li><li><p>if x is over a, then transverse axis is horizontal</p></li></ul><p></p>
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vertical hyperbola standard form

  • asymptotes: y-k = ± a/b (x-h)

  • if y is over a, then transverse axis is vertical

<ul><li><p>asymptotes: y-k = ± a/b (x-h)</p></li><li><p>if y is over a, then transverse axis is vertical</p></li></ul><p></p>
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hyperbola c2

c2 = a2 + b2

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