# Graph x to the power of two plus y to the power of two plus eighteen x minus four y plus seventy minus six equals zero

Subtract from both sides of the equation.

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

Consider the vertex form of a parabola.

Replace the values of and into the formula .

The common factor should be canceled of and .

Factor out of .

The common factors should be canceled.

Factor out of .

Cancel the common factor.

Reformulate the expression.

First, divide by .

Find the value of using the formula .

Clarify each term.

Raise to the power of .

First, multiply by .

Divide by .

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 .

Clarify the right side.

The common factor should be canceled and .

Factor out of .

Cancel the common factors.

Factor out of .

Cancel the common factor.

Should be rewritten the expression.

Divide by .

Multiply by .

Find the value of using the formula .

Clarify each term.

Cancel the common factor of and .

Rewrite as .

Apply the product rule to .

Raise to the power of .

Multiply by .

Factor out of .

Cancel the common factors.

Cancel the common factor.

Rewrite the expression.

Divide by .

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.

Add and .

Add and .

This is the form of a circle. Use this form to calculate the circle's center and radius.

Compare the values in this circle to the values in the usual 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:

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