1. 8.6 Conic Sections 1 2 3 Types Standard Equation Forms
Practice Problems

2. Types of Conic Sections
Parabolas

3. Types of Conic Sections
Circles

4. Types of Conic Sections
Elipses

5. Types of Conic Sections
Hyperbolas

6. Standard Equation Form
Conic Section
Standard Equation Form
Parabola
Circle

7. Standard Equation Form
Conic Section
Standard Equation Form
Hyperbola

8. Standard Equation Form
Conic Section
Standard Equation Form
Elipse

9. Identifying a Conic Section by Rewriting into Standard Form
Isolate the terms
Variables on the left of the equal sign
Constants on the right of the equal sign
Complete the square
Factor
Compare to the Standard Forms

10. Identifying a Conic Section by Rewriting into Standard Form Example
Write the equation in standard form and identify the type of conic section it is.

11. Identifying Conic Sections by Analyzing Coefficients
Put the equation into the form
Compare A and C using the following:
Conic Section
Relationship of A to C
Parabola
A=0 or C=0, not both
Circle
A=C
Ellipse
A & C have the same sign and are not equal
Hyperbola
A & C have opposite signs

12. Identifying Conic Sections by Analyzing Coefficients Examples
State whether the following equation is a parabola, hyperbola, circle or ellipse. Since A and C have opposite signs, it is a hyperbola

13. Identifying Conic Sections by Analyzing Coefficients Examples
State whether the following equation is a parabola, hyperbola, circle or ellipse. Since A = C , it is a circle

14. Identifying Conic Sections by Analyzing Coefficients Examples
State whether the following equation is a parabola, hyperbola, circle or ellipse. Since A and C are both positive and not equal, it is a parabola

15. Practice Problems
Page 450
Problems 4-9, 12-29, 33-38