Question 98491
this is from Wikipedia - "In Cartesian coordinates, a parabola with an axis parallel to the y axis with vertex (h, k), focus (h, k + p), and directrix y = k - p, with p being the distance from the vertex to the focus, has the equation (x-h)^2=4p(y-k)"


x^2-10x-8y+33=0 ... x^2-10x+25-8y+8=0 ... x^2-10x+25=8y-8 ... (x-5)^2=4(2)(y-1)


so vertex is (5,1), focus is (5,3), and directrix is y=-1