1. Warm-Up
Range Graphically (#9 on CQ#1)

2. Homework Questions

3. Chapter 8
Ellipses

4. Ellipses Standard Form of an Ellipse Center (h, k)
a is your hm (horizontal movement)
b is your vm (vertical movement)

5. Graph (and state vertices and co-vertices…major and minor axis)

6. Graph

7. Graph

8. Graph

9. Write an equation of an ellipse.
Center at the origin and vertex at (0,5) and co-vertex at (2,0)
Center at the origin and vertex at (0,-6) and co-vertex at (3,0)
Find an equation of an ellipse centered at the origin that is 12 units wide and 30 units high.

10. Additional Examples:
1. Write an equation in standard form of an ellipse that has a vertex at (0,-4), a co-vertex at (3,0) and is centered at the origin.
2. Find an equations of an ellipse centered at the origin that is 20 units wide and 10 units high.

11. Write the equation of a translated Ellipse
Write an equation of an ellipse with center (-3,-2), vertical major axis of length 8 and minor axis of length 6.
Write an equation of an ellipse with center (1,-4), horizontal major axis of length 10, and minor axis of length 4.

12. Write in Standard Form:
1. 25x²+16y²+150x = 160y-225
2. 2x²+8x+y²+4 = 0

13. Now you try…Write in standard form.
4x²+y² - 24x + 6y + 9 = 0
x² + y² - 12x+ 4y = 8

14. Let’s look at #3 on your worksheet…or others with foci

15. Homework
Worksheet
Quiz tomorrow on Circles and Ellipses!