## 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
• 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.