1 / 16

Parabola Parts

Equation of Ellipse (1). Parabola Parts. Equation of Ellipse (2). Parabola (UpDown). Hyperbola (Left Right). Parabola (LeftRight). Hyperbola (Up Down). Equation of Parabola (Vertex, Focus). Equation of Hyperbola (1). Equation of Parabola (Vert, Direct). Equation of Hyperbola (2).

kflannagan
Download Presentation

Parabola Parts

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. Equation of Ellipse (1) Parabola Parts Equation of Ellipse (2) Parabola (Up\Down) Hyperbola (Left Right) Parabola (Left\Right) Hyperbola (Up Down) Equation of Parabola (Vertex, Focus) Equation of Hyperbola (1) Equation of Parabola (Vert, Direct) Equation of Hyperbola (2) Equation (Line tangent to circle at a point) Ellipse (Tall) Please report any errors ASAP by email to sakim@fjuhsd.net or IM at kimtroymath. Problems may be more difficult on test. Consult homework assignment. Not all topics covered. Ellipse (Wide)

  2. Up\down parabola Right (pos)\Left(neg) parabola Vertex Focus Directrix Axis of Symmetry How to graph 1) Opens 2) Vertex, aos 3) Find p 4) Focus 5) Directrix Focus – On a.o.s., is inside the parabola Directrix – perpendicular to a.o.s, is outside the parabola All points on the parabola are equidistant from the focus and the directrix 6) Latus Rectum = |4p| through focus

  3. How to graph 1) Opens 2) Vertex\aos 3) Find p 4) Focus 5) Directrix Down (3, 4); x = 3 p = -2 (3, 4 + (-2)) = (3, 2) x = 3 y = 6 y = 4 – (-2)  y = 6 (3, 4) Latus Rectum |4p| = 8 (3, 2) Don’t have to necessarily memorize, just think about these.

  4. 1) Opens 2) Vertex, aos 3) Find p 4) Focus 5) Directrix Right (-5,-2), y = -2 (-5,-2) Latus Rectum y = -2 |4p| = 1\2 Don’t have to necessarily memorize, just think about these.

  5. Equation of parabola given vertex and focus. Vertex (2,1) Focus (4,1) 1) Opening 2) Vertex 3) Find p 4) Plug in parts

  6. Equation of parabola given vertex and directrix. Vertex (2,-3) Directrix y = 1) Opening 2) Vertex 3) Find p 4) Plug in parts

  7. Equation of tangent line given center, point • Find center • Other point • 2) Find slope • 3) Perp Slope • 4) Eq of line (3, -1) (x - 3)2 + (y + 1)2 = 20 (5, 3) (5,3) is point on circle

  8. 1) Tall or Wide? • 2) Find center • Find a and plot • Find b and plot • Find c and plot

  9. 1) Tall or Wide? • 2) Find center • Find a and plot • Find b and plot • Find c and plot

  10. NOTE: If you have a and b, you don’t need c Vertices: (4,0), (-2,0) Foci: (2,0), (0,0) 1 – Find Center 2 – Tall or Wide 3 – Find a: b: c: 4 – Find what you don’t have 5 – Plug it in

  11. NOTE: If you have a and b, you don’t need c Co-Vertices: (5,-1), (-3,-1) Foci: (1,8), (1,-10) 1 – Find Center 2 – Tall or Wide 3 – Find a: b: c: 4 – Find what you don’t have 5 – Plug it in

  12. Steps 1 – Find Center 2 – Find a and plot 3 – Find b and plot 4 – Make box and sketch asymptotes 5 – Find c, foci 6 – Sketch 7 – Equation of asymptotes

  13. Steps 1 – Find Center 2 – Find a and plot 3 – Find b and plot 4 – Make box and sketch asymptotes 5 – Find c, foci 6 – Sketch 7 – Equation of asymptotes

  14. Vertices: (4,0), (-2,0) Foci: (5,0), (-3,0) 1 – Find Center 2 – Up\Down, or Left\Right 3 – Find a: b: c: 4 – Find what you don’t have 5 – Plug it in

  15. Vertices: (1,-3), (1,5) Foci: (1,-5), (1,7) 1 – Find Center 2 – Up\Down, or Left\Right 3 – Find a: b: c: 4 – Find what you don’t have 5 – Plug it in

More Related