Question

graph the circle given below: (x + 4)^2 + y^2 = 4. to graph the circle, drag the center point to the desired location, and then drag the radius point until the radius is the desired number of units. provide your answer below:

Explanation:

Step1: Identify circle - standard form

The standard form of a circle is $(x - h)^2+(y - k)^2=r^2$, where $(h,k)$ is the center and $r$ is the radius. Given $(x + 4)^2+y^2 = 4$, we can rewrite it as $(x-(-4))^2+(y - 0)^2=2^2$.

Step2: Determine center and radius

The center of the circle is $(-4,0)$ and the radius $r = 2$.

Answer:

The circle has center at $(-4,0)$ and radius of 2 units. To graph it, place the center point at $(-4,0)$ on the coordinate - plane and then set the radius to 2 units.