Answer:
y = 1/28(x²)
Explanation:
Not totally sure about this, but here's what I think is the answer:
focus (0,7)
directrix y = -7
Always a good idea to plot the point (0,7) and the line y = -7 so you can visualize what the parabola looks like.
From the graph, you can see that p = 7 (halfway between the focus and the directrix).
The vertex of this parabola is (0,0), which are your (h, k) values. You can see that from the graph. The parabola opens UP.
4p(y-k) = (x-h)² → 4p(y-0) = (x-0)²
4py = x²
y = x²/4p = x²/4(7) = x²/28
y = 1/28(x²)
sorry if this isn't the right answer, but I tried (I'm not a paid expert, just a fellow student trying to learn math)!