Give the coordinates of the circle's center and its radius.

(x−1)^2 +(y+8)^2 =16

Center=  ( 1, -8)   Radius =  4   →    'd"

(y-2)^2 +16(x-3)=0      put into this form

(x - h)   =  (1/[4p] ) (y -  k)^2       where (h,k) is the vertex  and the focus is given by [h + p , k]

(x - 3)  =  - (1/16)(y -2)^2

The vertex is (3, 2)       this parabola opens to the left, and we can find p thusly :

- [1/16 ] = [1/ (4p) =    so  p    =  - 4   

So the focus  = (3  + (- 4 ) ,  2 )  =  ( -1, 2)

"d"  is the correct choice