2.2 Circles

Miller & Gerken, College Algebra 2e — Pages 212-221

Learning Objectives

  • Write the equation of a circle in standard form

  • Graph a circle

  • Convert general form to standard form

Key Concepts

Standard Form

\[(x - h)^2 + (y - k)^2 = r^2\]

  • Center: \((h, k)\)

  • Radius: \(r\)

General Form

\[x^2 + y^2 + Dx + Ey + F = 0\]

Convert to standard form by completing the square.

Examples

Example 1. Example 1

Work through textbook example…​

Practice Problems

Problem 1 (p. XX, #YY)

Problem:

My Work:

Answer:

Section Summary

  1. Key point 1

  2. Key point 2

Study Notes

Personal observations…​

Next: 2.3 Functions