Use the form , to find the values of , , and .

Consider the vertex form of a parabola.

Substitute the values of and into the formula .

Cancel the common factor of .

Cancel the common factor.

Rewrite the expression.

Find the value of using the formula .

Simplify each term.

One to any power is one.

Multiply by .

Subtract from .

Substitute the values of , , and into the vertex form .

Substitute for in the equation .

Move to the right side of the equation by adding to both sides.

Use the form , to find the values of , , and .

Consider the vertex form of a parabola.

Substitute the values of and into the formula .

Cancel the common factor of .

Cancel the common factor.

Rewrite the expression.

Find the value of using the formula .

Simplify each term.

Raise to the power of .

Multiply by .

Subtract from .

Substitute the values of , , and into the vertex form .

Substitute for in the equation .

Move to the right side of the equation by adding to both sides.

Combine the numerators over the common denominator.

Add and .

Cancel the common factor of and .

Factor out of .

Cancel the common factors.

Factor out of .

Cancel the common factor.

Rewrite the expression.

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

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

The center of the circle is found at .

Center:

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

Center:

Radius:

Graph x^2+y^2+x-y=0