## Chapter 9 Study Guide

### Analyze the equation and sketch it's graph.

There are four problems. At least one of them involves a rotation of axis; you should include the angle of rotation in your analysis. Look at problems 11 - 22 in the chapter review.
Here are what I feel should be included in an analysis.

#### Parabola

- Equation in standard form
- Vertex
- Focus
- Directrix
- Eccentricity: e = 1

#### Circle

- Equation in standard form
- Center
- Radius
- Eccentricity: e = 0

#### Ellipse

- Equation in standard form
- Center
- Vertices
- Foci
- Endpoints of Major Axis
- Endpoints of Minor Axis
- Eccentricity: 0 < e < 1

#### Hyperbola

- Equation in standard form
- Center
- Vertices
- Foci
- Endpoints of Transverse Axis
- Endpoints of Conjugate Axis
- Equations of Asymptotes
- Eccentricity: e > 1

### Find the equation of ...

There are three problems here.
#### Parabola

- Look at problems 23 - 26 in the review.

#### Ellipse

- Look at problems 29 - 34 in the review.

#### Hyperbola

- Look at problems 47 - 52 in the review.