## Introduction

**Conic sections** are four shapes; parabolas, circles, ellipses, and hyperbolas, created from the intersection of a plane with a cone or two cones.

In this chapter, we will study these four conic sections and place them in the plane. For each shape, we will analyze the parts, find the equation and graph. Lastly, we will introduce the general conic section equation and solve systems with conics and lines.

## Chapter Outline

- 10.1. Parabolas with Vertex at the Origin
- 10.2. Parabolas with Vertex at (h, k)
- 10.3. Circles Centered at the Origin
- 10.4. Circles Centered at (h, k)
- 10.5. Ellipses Centered at the Origin
- 10.6. Ellipses Centered at (h, k)
- 10.7. Graphing Hyperbolas Centered at the Origin
- 10.8. Writing the Equation of a Hyperbola, Centered at the Origin
- 10.9. Hyperbolas Centered at (h, k)
- 10.10. General Conic Equation
- 10.11. Classifying Conic Sections
- 10.12. Solving Systems of Lines, Quadratics, and Conics

### Chapter Summary

## Summary

This chapter covers parabolas, circles, ellipses, and hyperbolas. You will learn how to graph and analyze these conic sections. In the last concept, we will solve systems with conics and lines.

### Image Attributions

## Description

This chapter covers parabolas, circles, ellipses, and hyperbolas and solving nonlinear systems.

## Difficulty Level:

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## Date Created:

Oct 08, 2013## Last Modified:

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