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# Pc 10.4 notes_hyperbola

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Hyperbolas and their equations.

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### Pc 10.4 notes_hyperbola

1. 1. 10.4 The HyperbolaObjective: Find the equation, vertices, foci, andasymptotes of hyperbolas.Standard: Math Analysis 5.0
2. 2. Definition of a Hyperbola: The set of all points equidistant from ____________ ________ where the __________ is constant.Major axis is called the _____________ axis
3. 3. Standard Equation:Center:Vertices:Foci:Asymptotes:
4. 4. Why asymptotes?
5. 5. Ex. 1) Graph and label the vertices, foci, and asymptotes.
6. 6. Ex. 2) Find the standard form of the hyperbola with fociat (0, 0) and (8, 0) and vertices at (3, 0) and (5, 0).
7. 7. Ex. 3) Find the standard form of the hyperbola havingvertices at (2, 3) and (2, 9) and asymptotes of slope ±3/2.
8. 8. Ex. 4) Find the slopes of the asymptotes of thehyperbola given by the equation:
9. 9. Ex. 5) Find the foci of the hyperbola with the equation:
10. 10. Assignment:#28 p. 760#9, 10, 13-16, 22, 23,27, 28, 45-55 (odd)