1. Conic Sections Part 2: Ellipses Integrated Math 4 Mrs. Tyrpak

2. Ellipses

3. Horizontal and Vertical Axes What is the length of both axes in both Graphs?

4. Major and Minor Axes The longer axis of an ellipse is the ________ axis, and the shorter is the ________ axis. When will the horizontal axis of an ellipse be the major axis? The minor axis?___________________________

5. Eliminate the parameter This will produce a rectangular equation for an ellipse.

6. Standard form for an Ellipse

7. Using Standard Form

8. Expanded Form  Standard

9. You try one…

10. Secondary definition for an ellipse: It is a set of points in a plane for which the sum of the distances from two fixed points, called the foci, is a constant.

11. General Case Explanation

12. Explain the following:

13. You know what I’m going to say! Awesome job!! Don’t forget to complete your extension and enrichment worksheets before you move on. Remember you are a mathematician