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Graphing Conic Sections: Equations and Interpretation

Learn about conic sections through graphical representation. Understand equations involving variables and coefficients. Identify and graph conic sections using given expressions. Complete a homework worksheet on conic sections.

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Graphing Conic Sections: Equations and Interpretation

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  1. Section 7.6.A Conic Sections

  2. Def: The equation of a conic section is given by: Ax2 + Bxy + Cy2 + Dx + Ey + F = 0 Where: A, B, C, D, E and F are not all = 0 A conic section is the intersection of a plane and A cone with two nappes

  3. 1.) Identify and graph 9x2 + 16y2 - 54x + 64y + 1 = 0

  4. 1.) (cont.)

  5. 2.) Graph and Identify y2 - 3x + 6y + 12 = 0

  6. 2.) (cont.)

  7. 3.) Identify and graph x2 - 8y + y2 + 11 = 0

  8. 3.) (cont.) (0, 4)

  9. 4.) Identify and graph y2 -2x2 -16 = 0

  10. 4.) (cont.)

  11. Homework Worksheet 7-6

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