x= 1/4y^2
Vertex form is written as x = a(y-k)^2 + h
Using the given equation determine the values for a, h and k:
a = 1/4 , k = 0, h = 0
The vertex of a parabola is (h,k) = (0,0)
Find the distance form the vertex to a focus using the formula 1/4a
from above we know a = 1/4 so now you have:
1/(4(1/4))
Simplify
1/(4(1/4)) = 1
p = 1
The focus is (h+p,k)
Using the values you have:
Focus = (0+1, 0)
= (1,0)