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Section 10.3 The Parabola
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Definition of a Parabola
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Example
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Standard Form of the Equation of a Parabola
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Example
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Using the Standard Form of the Equation of a Parabola
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Example
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Example
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Translations of Parabola
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Example
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Example
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Example
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Example
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Applications
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Applications of Parabolas- cables on suspension bridges, arches on bridges, solar cookers, reflectors on lights, satellite dishes
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Example 6 feet cooker (3,1) 1 foot (0,0)
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Degenerate Conic Sections
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Intersections might now result in a conic section
Intersections might now result in a conic section. Three degenerate cases occur when the cutting plane passes through the vertex. These degenerate conic sections are a point, line, and a pair of intersecting lines.
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(a) (b) (c) (d)
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(a) (b) (c) (d)
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(a) (b) (c) (d)
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