Answer:
focus is (1,0)
Step-by-step explanation:
the focus of a parabola with equation [tex]y^2=4x[/tex]
Focus point lies inside the parabola
To find the focus of a parabola we need to find the vertex
the distance between the focus and vertex is the value of p.
Focus point is (h+p,k)
Where (h,k) is the vertex
Given equation is in the form of [tex](y-k)^2=4p(x-h)[/tex]
Given equation can be written as [tex](y-0)^2=4(x-0)[/tex]
So the vertex is (0,0)
Now we find the value of p
[tex]4p = 4[/tex]
So [tex]p=1[/tex]
Focus is (h+p,k) that is (1,0)
