1. 7.6 Conics

2. Conics

3. Parabola
A parabola is the set of all points equidistant from a line and a fixed point not on the line.
The line is called the directrix, and the point is called the focus.
The point on the parabola halfway between the focus and the directrix is the vertex.

4. Ellipse
the set of points such that the sum of the distances to two fixed points (the foci) is constant.

5. Circle

6. Hyperbola
the set of points in a plane whose distances to two fixed points in the plane have a constant difference

7. Trouble in Paradise…
How do I graph these equations…

8. Use Polar Equations!!!
Example: parabola
Check the eccentricity

9. Conics To analyze a polar equation, put the equation in standard form
Then check the eccentricity
If 0 < e < 1, then the conic is an ellipse
If e = 1, then the conic is a parabola
If e > 1, then the conic is an hyperbola

10. Polar Equations
Determine the eccentricity and type of conic. Then graph!

11. Homework
Pg 566 #2-8 even, all
Test on 4/24!