(x- h)^2+(y- k)^2= r^2
In this form, ( h, k) is the center of the circle and r is its radius. We are told that the center of the circle is ( - 4, - 6) and its radius is 6.
This information is enough to write the equation.
(x-( - 4))^2+(y-( - 6))^2= 6^2
⇕
(x+4)^2+(y+6)^2=36
This corresponds to option G.