(x-h)² + (y-k)² = r² has center (h,k) and radius r

compare your equation 

(x+4)² + (y-3)² = 25 

to that and you see that

-h=+4, so h=-4
-k=-3, so k=3
 r²=25, so r=5



Draw a horizontal line from (-7,-1) to a point directly below
the center, then a vertical line from there to the center (4,3).
The horizontal line is 3 units long and the vertical line is
4 units long.  Then do the same from the center of the circle,
3 units right from (4,3), then 4 units up, and you end up at
the point (-1,7)
      

Edwin