Hello Mo, there’s an equation for a vertical parabola and one for horizontal parabolas:
vertical: (x-h)^2 = 4p (y-k)
horizontal: (y-k)^2 = 4p (x-h)
Clearly, the equation you have looks more like a horizontal parabola because the y is being squared.
So let’s compare your equation to the formula to find h, p and k:
k = 0,
h = 0,
4p = 9 so p = 9/4.
Having found h, k and p, I’ll now write the formulas for what you need to find and leave the math up to you.
axis of symmetry is y = k (replace k by its value)
directrix is x = h - p (replace h and p by their values)
focus is (h + p, k) [again, replace h, p and k by their values and you’ll get the answer]
