7.2_bzca5e - Section 7.2 The Hyperbola Definition of a...

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Section 7.2 The Hyperbola
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Definition of a Hyperbola
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Standard Form of the Equation of a Hyperbola
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-6 -5 -4 -3 -2 -1 1 2 3 4 5 6 7 -4 -3 -2 -1 1 2 3 4 5 x The Relationship of a, b, c in a Hyperbola (c,0) a b c 2 2 2 Using the Pythagorean theorem you can see that the relationship is a b c + = (-c,0)
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Example 2 2 For the following equations is the transverse axis on the x-axis or the y-axis? 1 4 5 y x - = 2 2 1 9 7 x y - =
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Using the Standard Form of the Equation of a Hyperbola
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Example 2 2 Find the vertices and locate the foci for the equation 1. 36 13 x y - =
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Example 2 2 Find the vertices and locate the foci for the equation. 1 16 9 x y - =
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Example Find the standard form of the equation of a hyperbola given the following information: Foci (-4,0), (4,0) and vertices (-3,0), (3,0)
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Example Find the standard form of the equation of a hyperbola given that the foci are (0,8) and (0,-8) and the vertices are located at (0,5) and (0,-5).
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The Asymptote of a Hyperbola
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2 2 Find the asymptotes for the given hyperbola. 1
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7.2_bzca5e - Section 7.2 The Hyperbola Definition of a...

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