Something wrong with the Question. x-intercept is what? It is 0 only? That is incomplete.

However, if that is all that is given, and the Question is complete or is posted correctly, then "x-intercept 0" may mean the origin (0,0) is an x-intercept.

The standard form of the squation of a "vertical" parabola--or a parabola whose axis of symmetry is vertical--is

(y-k) = a(x-h)^2 ------------(i)

where

(h,k) is the vertex.

"a" is any real number.

So if the vertex is at point (3,5), the Eq.(i) becomes

(y -5) = a(x -3)^2 ---------(ii)

What is "a"?

At the x-intercept (0,0), Eq.(ii) becomes

(0 -5) = a(0 -3)^2

-5 = 9a

a = -5/9 --------------***

Therefore, the parabola is

y -5 = (-5/9)(x -3)^2 ---------------answer.