Determine the equation of the circle graphed below.

Answer:
[tex](x+7)^2+(y-2)^2=4[/tex]
Step-by-step explanation:
The equation of a circle is [tex](x-h)^2+(y-k)^2=r^2[/tex] where [tex](h,k)[/tex] is the center of the circle and [tex]r[/tex] is the radius.
Since the center is [tex](h,k)\rightarrow(-7,2)[/tex], and the radius is [tex]r=2[/tex], then the equation of the circle graphed is [tex](x-(-7))^2+(y-2)^2=2^2=(x+7)^2+(y-2)^2=4[/tex].