Section 10.2 ellipse written notes
Upcoming SlideShare
Loading in...5
×
 

Section 10.2 ellipse written notes

on

  • 457 views

 

Statistics

Views

Total Views
457
Views on SlideShare
431
Embed Views
26

Actions

Likes
0
Downloads
2
Comments
0

2 Embeds 26

http://www.edmodo.com 17
http://wrhshonorsprecalc.blogspot.com 9

Accessibility

Categories

Upload Details

Uploaded via as Adobe PDF

Usage Rights

© All Rights Reserved

Report content

Flagged as inappropriate Flag as inappropriate
Flag as inappropriate

Select your reason for flagging this presentation as inappropriate.

Cancel
  • Full Name Full Name Comment goes here.
    Are you sure you want to
    Your message goes here
    Processing…
Post Comment
Edit your comment

Section 10.2 ellipse written notes Section 10.2 ellipse written notes Document Transcript

  • Date:  1.6.12Title:  10.2 Conics ‐ The EllipseObjective: To create Ellipses!In: Feb 5­7:22 PM Remember Circles? x2 + y2 = r2 (x + 3)2 + (y - 2 )2 = 16 Really, a Circle formula should read.... (x-h)2 + (y-k)2 = 1 r2 r2 Apr 15­2:13 PM 1
  • An Ellipse is...the set of all points (x, y)...the sum of whose distances fromtwo distinct fixed points (foci) is constant.Eccentricity is the ratio c/a Apr 15­2:13 PM Ellipse An equation of the ellipse with center (0, 0) and foci at (-c, 0) and (c, 0) isA equation of the ellipse with center (h, k),changes to the following: where a > b > 0 and c2 = a2 ‐ b2 C is the distance from the center to the foci points. (a is always the bigger number) Apr 15­2:13 PM 2
  • Graph: 4x2 + y2 + 24x ­ 4 y + 24 = 0HW: P 710  12,15,17,18,20,22,30,32,33,40,48,49 Nov 30­8:04 AM Jan 6­1:27 PM 3
  • 4x2 + y2 ‐ 8x + 4y + 4 = 0 Parabola?  Ellipse?  Graph! Apr 15­2:13 PM EllipseFind an equation of the ellipse with center at the origin,  one focus at (3, 0), and a vertex at (‐4, 0). Graph the ellipse by hand Apr 15­2:13 PM 4
  • Ellipse How will the graphs look different? x2 + y2 = 1 x2 + y2 = 1 25 9 9 25 Apr 15­2:13 PM Ellipse Find an equation of the ellipse having one focus at (0, 2) and vertices at (0, ‐3) and (0, 3).   Apr 15­2:13 PM 5