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Sections 10.1-10.3 Conic Sections

Sections 10.1-10.3 Conic Sections. Circles Parabolas Ellipses Hyperbolas. Introduction to Conic Sections Parabola Circle Ellipse Hyperbola . Ax 2 + By 2 + Cxy + Dx +Ey + F = 0. The constants A, B, C, D, E and F determine the nature of the graphs formed

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Sections 10.1-10.3 Conic Sections

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  1. Sections 10.1-10.3 Conic Sections • Circles • Parabolas • Ellipses • Hyperbolas 10.1,2,3

  2. Introduction to Conic SectionsParabola CircleEllipse Hyperbola 10.1,2,3

  3. Ax2 + By2 + Cxy + Dx +Ey + F = 0 • The constants A, B, C, D, E and F determine the nature of the graphs formed • For conic sections, A and B cannot both be 0 10.1,2,3

  4. Remember Parabolas? • Two styles: Functions & Relations Find the Vertex: x = -b/(2a), (or y = -b/(2a)) solve for y or x 10.1,2,3

  5. A Circle has a Center and a Radius Find the center & radius 10.1,2,3

  6. Sketch a circle: (double “complete the square”)Find the Center and Radius 10.1,2,3

  7. An Ellipse also has a Center and Foci 10.1,2,3

  8. Graphing an Origin-Centered Ellipse 10.1,2,3

  9. An Ellipse Centered at (h,k) 10.1,2,3

  10. Hyperbolas have Two Branches 10.1,2,3

  11. A Hyperbola Centered at the Origin 10.1,2,3

  12. Non-Standard Hyperbola 10.1,2,3

  13. What Next? The Final Exam 10.1,2,3

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