Pre-Algebra Examples

$4 = {(x + 8)}^{2} + {(y - 5)}^{2}$

Step 1

Since $y$ is on the right side of the equation, switch the sides so it is on the left side of the equation.

${(x + 8)}^{2} + {(y - 5)}^{2} = 4$

Step 2

This is the form of a circle. Use this form to determine the center and radius of the circle.

${(x - h)}^{2} + {(y - k)}^{2} = r^{2}$

Step 3

Match the values in this circle to those of the standard form. The variable $r$ represents the radius of the circle, $h$ represents the x-offset from the origin, and $k$ represents the y-offset from origin.

$r = 2$

$h = - 8$

$k = 5$

Step 4

The center of the circle is found at $(h, k)$ .

Center: $(- 8, 5)$

Step 5

These values represent the important values for graphing and analyzing a circle.

Center: $(- 8, 5)$

Radius: $2$

Step 6