A dilation centered at (h,k)(h, k)(h,k) with scale factor sss maps (x,y)(x, y)(x,y) to:
(s(x−h)+h,s(y−k)+k)(s(x-h)+h, s(y-k)+k)(s(x−h)+h,s(y−k)+k)
(sx−h,sy−k)(sx-h, sy-k)(sx−h,sy−k)
(s(x+h),s(y+k))(s(x+h), s(y+k))(s(x+h),s(y+k))
(sx+h,sy+k)(sx+h, sy+k)(sx+h,sy+k)