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Conic Sections Advanced Geometry Conic Sections Lesson 2.

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Presentation on theme: "Conic Sections Advanced Geometry Conic Sections Lesson 2."— Presentation transcript:

1 Conic Sections Advanced Geometry Conic Sections Lesson 2

2 Conic Sections A curve determined by the intersection of a plane with a double right cone. CircleEllipseHyperbolaParabola

3 Axis of Symmetry Directrix Vertex Focus Parabola

4 Vertical Axis of Symmetry Horizontal Axis of Symmetry

5 Example: Using the graphs below, provide all of the listed information. Vertex: Focus: Axis of Symmetry: Directrix:

6 Ellipse Center Major Axis Minor Axis VerticesFoci

7 Vertical Major Axis Horizontal Major Axis

8 Example: Using the graphs below, provide all of the listed information. Center: Foci: Length of the Major Axis: Length of the Minor Axis: Vertices:

9 Hyperbola Center Foci Transverse Axis Conjugate Axis Vertices Asymptotes

10 Vertical Transverse Axis Horizontal Transverse Axis

11 Example: Using the graphs below, provide all of the listed information. Center: Vertices: Foci: Slopes of the Asymptotes:

12 Example: Graph the specified conic section using the information provided. Ellipse Center: (-3,0) Foci: (  8, -3) Length of the Major Axis: 20 units Length of the Minor Axis: 12 units Vertices: (  10, -3), (0, 3), (0, -9)

13 Parabola Vertex: (1, 1) Focus: (4, 1) Axis of Symmetry: y = 1 Directrix: x = -2 Example: Graph the specified conic section using the information provided.

14 Circle Center: (-3,-3) Radius: 6 units Example: Graph the specified conic section using the information provided.

15 Hyperbola Center: (2, -1) Vertices: (2, 3), (2, -5) Foci: (2, 4), (2, -6) Slopes of the Asymptotes: Example: Graph the specified conic section using the information provided.


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