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Section 10.3 The Parabola.

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Presentation on theme: "Section 10.3 The Parabola."— Presentation transcript:

1 Section 10.3 The Parabola

2 Definition of a Parabola

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5 Example

6 Standard Form of the Equation of a Parabola

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8 Example

9 Using the Standard Form of the Equation of a Parabola

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13 Example

14 Example

15 Translations of Parabola

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20 Example

21 Example

22 Example

23 Example

24 Applications

25 Applications of Parabolas- cables on suspension bridges, arches on bridges, solar cookers, reflectors on lights, satellite dishes

26 Example 6 feet cooker (3,1) 1 foot (0,0)

27 Degenerate Conic Sections

28 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.

29 (a) (b) (c) (d)

30 (a) (b) (c) (d)

31 (a) (b) (c) (d)


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