question\ndetermine the equation of the circle graphed below.

Explanation:

Step1: Identify the center

By observing the graph, the center of the circle $(h,k)$ is at $(3, - 2)$.

Step2: Determine the radius

Count the distance from the center to a point on the circle. The radius $r = 2$.

Step3: Use the circle - equation formula

The standard form of the equation of a circle is $(x - h)^2+(y - k)^2=r^2$. Substitute $h = 3$, $k=-2$, and $r = 2$ into the formula: $(x - 3)^2+(y+2)^2=4$

Answer:

$(x - 3)^2+(y + 2)^2=4$