The Whisper Room




What does this have to do with
ellipses?
The Anatomy of The Ellipse
                              B1       P

                              b
                     ...
The Pythagorean Property     B1
                                  a
                             b
                       ...
Vertical Ellipse
Horizontal Ellipse
FOCAL RADII PROPERTY   Constant




                       BY SYMMETRY
Sketch each ellipse. Identify the length of the major and minor axes, the
coordinates of the center, foci and vertices.
Sketch each ellipse. Identify the length of the major and minor axes, the
coordinates of the center, foci and vertices.
A parabola has vertex (0, 0) and focus on a coordinate axis. Write the
equation of the parabola if:

(a) the focus is: (i)...
For each ellipse whose equation is given below
      (i) Write the equation in standard form
      (ii) Determine the leng...
Pre-Cal 40S Slides December 13, 2007
Pre-Cal 40S Slides December 13, 2007
Pre-Cal 40S Slides December 13, 2007
Upcoming SlideShare
Loading in …5
×

Pre-Cal 40S Slides December 13, 2007

1,106 views

Published on

More on the ellipse.

Published in: Education, Technology
0 Comments
0 Likes
Statistics
Notes
  • Be the first to comment

  • Be the first to like this

No Downloads
Views
Total views
1,106
On SlideShare
0
From Embeds
0
Number of Embeds
219
Actions
Shares
0
Downloads
14
Comments
0
Likes
0
Embeds 0
No embeds

No notes for slide

Pre-Cal 40S Slides December 13, 2007

  1. 1. The Whisper Room What does this have to do with ellipses?
  2. 2. The Anatomy of The Ellipse B1 P b a a A1 A2 c O c F1 F2 b B2 O is the CENTRE
  3. 3. The Pythagorean Property B1 a b A1 A2 a c F1 F2 b 2 c2 = a 2 b+ B 2 c = a 2 - b2 Vertical Ellipse Horizontal Ellipse
  4. 4. Vertical Ellipse Horizontal Ellipse
  5. 5. FOCAL RADII PROPERTY Constant BY SYMMETRY
  6. 6. Sketch each ellipse. Identify the length of the major and minor axes, the coordinates of the center, foci and vertices.
  7. 7. Sketch each ellipse. Identify the length of the major and minor axes, the coordinates of the center, foci and vertices.
  8. 8. A parabola has vertex (0, 0) and focus on a coordinate axis. Write the equation of the parabola if: (a) the focus is: (i) (4, 0) (ii) (-6, 0) (iii) (0, 3) (b) the directrix is defined by the line y = 8.
  9. 9. For each ellipse whose equation is given below (i) Write the equation in standard form (ii) Determine the lengths of the major and minor axes, the coordinates of the verticies, and the coordinates of the foci. (iii) Sketch a graph of the ellipse.

×