This document contains 3 problems involving completing the square to write equations of circles in standard form and graphing the circles. Problem 1 has the equation x^2 + y^2 - 6x + 8y + 21 = 0 and asks to complete the square and graph the circle. Problem 2 gives the equation x^2 + y^2 + 4x - 6y + 6 = 0 and asks to do the same. Problem 3 gives the equation 2x^2 + 2y^2 - x + y - 3 = 0 and asks to complete the square and describe the resulting circle.

1. 63. Circles and Completing the Square.notebook April 11, 2013
63. Circles and Completing the Square

2. 63. Circles and Completing the Square.notebook April 11, 2013
1. The equation x2 + y2 ­ 6x + 8y + 21 = 0 is a circle. Complete the square to
change this equation to standard form. Graph the circle.

3. 63. Circles and Completing the Square.notebook April 11, 2013
2. Given the general form of the equation of a circle, x2 + y2 + 4x ­ 6y + 6 = 0,
complete the square to write the standard from and then graph the circle.

4. 63. Circles and Completing the Square.notebook April 11, 2013
3. Given the general form of the equation of a circle, 2x2 + 2y2 ­ x + y ­ 3 = 0,
complete the square to write the standard from and describe the circle.