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