1 / 20

10.2 Introduction to Conics: Parabola

10.2 Introduction to Conics: Parabola. General Equation of all Conics Latus rectum. The General equation of all Conics. Definition of a Conics conic - a curve generated by the intersection of a plane and a circular cone. The General equation of all Conics. Definition of a Conics

len-griffin
Download Presentation

10.2 Introduction to Conics: Parabola

An Image/Link below is provided (as is) to download presentation Download Policy: Content on the Website is provided to you AS IS for your information and personal use and may not be sold / licensed / shared on other websites without getting consent from its author. Content is provided to you AS IS for your information and personal use only. Download presentation by click this link. While downloading, if for some reason you are not able to download a presentation, the publisher may have deleted the file from their server. During download, if you can't get a presentation, the file might be deleted by the publisher.

E N D

Presentation Transcript

  1. 10.2 Introduction to Conics:Parabola General Equation of all Conics Latus rectum

  2. The General equation of all Conics Definition of a Conics conic - a curve generated by the intersection of a plane and a circular cone

  3. The General equation of all Conics Definition of a Conics conic - a curve generated by the intersection of a plane and a circular cone Ax2 + Bxy + Cy2 + Dx + Ey + F = 0; Where A, B, C, D, E and F are all numbers

  4. Parabola The curve formed by the set of points in a plane that are all equally distant from both a given line (called the directrix) and a given point (called the focus) that is not on the line.

  5. The Vertex of the Parabola The midpoint of a line segment between the Focus and the Directrix

  6. Equation of the Parabola Depend if the parabola open to the right / left or Up and Down. Up or Down Right / left

  7. Writing the equation of the Parabola Find the Vertex and a point on the parabola. What Equation to Use?

  8. Writing the equation of the Parabola Replace h,k, x and y. Vertex ( 1, -4) Point ( 0, -3) Need to solve for p.

  9. Writing the equation of the Parabola Replace h, k and p. Vertex ( 1, -4) Point ( 0, -3)

  10. Writing the equation of the Parabola Replace h, k and p.

  11. The Chord touching the parabola and going through the center is called Latus rectum The Latus rectum goes through the Focus. The Latus rectum is 4 p

  12. Find the equation of the Line tangent to the parabola at a given point Given point (3,3): Focus (0, 2) Equation (x - 0)2 = 0.2(y – 1)

  13. Find the equation of the Line tangent to the parabola at a given point Given point (3,3): Focus (0, 2) Equation (x - 0)2 = 0.2(y – 1)

  14. Find the equation of the Line tangent to the parabola at a given point Given point (3,3): Focus (0, 2) Equation (x - 0)2 = 0.2(y – 1)

  15. Find the equation of the Line tangent to the parabola at a given point Given point (3,3): Focus (0, 2) Equation (x - 0)2 = 0.2(y – 1)

  16. Find the equation of the Line tangent to the parabola at a given point Slope m =

  17. Find the equation of the Line tangent to the parabola at a given point Point-slope form the line

  18. Find the equation of the Line tangent to the parabola at a given point Point-slope form the line

  19. Homework Page 712 – 715 # 6, 12, 18, 24, 28, 34, 40, 44, 50, 56, 64, 70

  20. Homework Page 712 – 715 # 10, 20, 26, 42, 48, 58

More Related