Answer:
[tex](x+2)^2+(y+4)^2=4[/tex]
Step-by-step explanation:
The given graph is a circle which is centered at (-2,-4) and of radius 2.
The standard form of a circle is given by
[tex](x-h)^2+(y-k)^2=r^2[/tex]
Here (h,k) is the center and r is the radius.
Hence, we have
h = -2, k = -4 , r = 2
Therefore, equation of the circle is
[tex](x-(-2))^2+(y-(-4))^2=2^2\\\\(x+2)^2+(y+4)^2=4[/tex]
