Question

complete the square and write the given equation in standard form. then give the center and radius of the circle and graph the equation.

(x^2 + y^2 + 6x + 6y + 9 = 0)

the equation in standard form is ((x + 3)^2 + (y + 3)^2 = 9).
(simplify your answer.)

the center of the circle is
(type an ordered pair.)

Explanation:

Group and rearrange terms

Using the Completing the Square for Circles knowledge point

$$ (x^2 + 6x) + (y^2 + 6y) = -9 $$

Complete the square for both variables

Using the Completing the Square for Circles knowledge point

$$
LATEXBLOCK0
$$

Identify center and radius

Using the Standard Form of Circle and Equation of a Circle knowledge points

$$
LATEXBLOCK1
$$

Answer:

Question 1

The equation in standard form is <blank>\((x+3)^2 + (y+3)^2 = 9\)</blank>

Question 2

The center of the circle is <blank>\((-3, -3)\)</blank>