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10.5 Rotation of Conics

10.5 Rotation of Conics. The Standard Equation for all Conics. Ax 2 + Bxy + Cy 2 + Dx + Ey + F = o So far B has equal zero and all graphs have been horizontal or vertical. Not anymore. The Standard Equation for all Conics. Ax 2 + Bxy + Cy 2 + Dx + Ey + F = 0

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10.5 Rotation of Conics

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  1. 10.5 Rotation of Conics

  2. The Standard Equation for all Conics Ax2 + Bxy + Cy2 + Dx + Ey + F = o So far B has equal zero and all graphs have been horizontal or vertical. Not anymore.

  3. The Standard Equation for all Conics Ax2 + Bxy + Cy2 + Dx + Ey + F = 0 So far B has equal zero and all graphs have been horizontal or vertical. Not anymore.

  4. How to Find θ Rotation off the x axis Given the Conic

  5. How to Find θ Rotation through Given the Conic

  6. How to Find θ Rotation through Given the Conic

  7. When the graph of the conics is moved x and y are called x‘ and y' Ellipse rotated 45°

  8. Write x and y in the new graph Let θ = 30°

  9. Find the coordinates of a point in a rotated coordinate system Given θ = 60° ; (3, 1) Find

  10. Solve for System of Equations

  11. Solve for System of Equations

  12. Solve for System of Equations

  13. Solve for System of Equations

  14. Classification of Conics by the Discriminant Ax2 + Bxy + Cy2 + Dx + Ey + F = 0

  15. Classification of Conics by the Discriminant Ax2 + Bxy + Cy2 + Dx + Ey + F = 0

  16. Classification of Conics by the Discriminant Ax2 + Bxy + Cy2 + Dx + Ey + F = 0

  17. Finding the intersection of two conics Given

  18. Finding the intersection of two conics Given

  19. Finding the intersection of two conics Given

  20. Finding the intersection of two conics Given

  21. Finding the intersection of two conics Given

  22. Homework Page 740 – 741 # 3, 19, 29, 47, 52

  23. Page 740 – 741 # 5, 23, 35, 50, 55

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