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 + 2x + 4y + 4 = 0)

the equation in standard form is
(simplify your answer)

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

the radius of the circle is (r =)

use the graphing tool to graph the circle.

Explanation:

Group terms and move constant

Using the Completing the Square for Circles knowledge point

$$ (x^2 + 2x) + (y^2 + 4y) = -4 $$

Complete the square for x and y

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:

The equation in standard form is <blank>\((x+1)^2+(y+2)^2=1\)</blank>

The center of the circle is <blank>\((-1,-2)\)</blank>

The radius of the circle is \(r =\) <blank>1</blank>