directix x=5 that means the parabola opens left or right
the equation is (y-h)²=4p(x-h)
alrighty vertex is (h,k) p is distance from focus to vertex also distance from vertex to directix
if p>0 then the parabola opens to the right and focus is to the right of directix if p<0 then the parabola opens to the left and focus is to the left of directix
alrighty the distance between directix and focus divided by 2=p hmm, note which one is to the left or right of which
directix is x=5 focus is (2,-3) where x=2 focus is to the left of directix alrighty fro m 5 to 2 the distance is 3 3/2=1.5 and since the focus is to the left of the directix, it is -1.5
so the parabols opens to the left the vertex is 1.5 untis to the right of the focus so vertex is at (3.5,-3)
so equation is (y-(-3))²=4(-1.5)(x-3.5) (y+3)²=4(-1.5)(x-3.5)