Question 256816
Vertex = (0,0)
Focus = (24,0)
point on parabola = (24,24)
The  general equation is
(i) {{{y = a(x-h)^2 + k}}}
or 
(ii) {{{y = (1/4p)(x-h)^2 + k}}}
From the given information, we get
(iii) {{{y = a(x- 0)^2 + 0}}}
or
(iv) {{{y = ax^2}}}
Now we have the coordinate 24,24, so (iv) becomes
(v) {{{24 = a(24)^2}}}
solving for a, we get
{{{a = 1/24}}}
So, our answer is
{{{y = (1/24)x^2}}}