Answer:
D. (x+6)²+(y+1)²=16
Explanation:
The equation for a circle in standard form is (x-h)²+(y-k)²=r², where (h,k) is the centre of the circle and r is the radius.
We can read from the graph that the centre is (-6,-1) and the radius is 4. Sub these in:
(x-h)²+(y-k)²=r²
(x-(-6))²+(y-(-1))²=4²
(x+6)²+(y+1)²=16