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### Ellipses

Understand the meaning and significance of the major and minor axes.

Understand the fundamental equation a

^{2}= b^{2}+ c^{2}and use it frequently.Use symmetry to help you graph an ellipse.

Understand the standard formula for the equation of an ellipse.

Know how to put an equation in standard form by completing the square.

### Ellipses

Lecture Slides are screen-captured images of important points in the lecture. Students can download and print out these lecture slide images to do practice problems as well as take notes while watching the lecture.

- Intro 0:00
- What are Ellipses? 0:59
- Foci
- Properties 3:47
- Major Axis, Minor Axis
- Standard Form 7:22
- Example
- Vertical Major Axis 10:12
- Example
- Graphing Ellipses 13:33
- Example: Completing the Square
- Equation with Center at (h,k) 17:25
- Example
- Lecture Example 1 19:36
- Lecture Example 2 23:52
- Additional Example 3
- Additional Example 4

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