we see it is the y terms squared so it opens left or right
in form (y-k)^2=4(p)(x-h) vertex is (h,k) and p is distance from focus to vertex, also distance from vertex to directix if p>0, then it opens to the right and dirextix is to the left of vertex if p<0, then it opens to the left and directix is tothe right of vertex
so (y-1)^2=4(4)(x-(-3)) vertex is (-3,1) 4>0 so dirextix is to left of vertex left is in x direction -3-4=-7 directix is x=-7