Answer:
The value of p is 1
Step-by-step explanation:
we know that
The standard form of the equation of a horizontal parabola is
[tex](y - k)^{2}= 4p(x - h)[/tex]
where
(h,k) is the vertex
p≠ 0
If p > 0, the parabola opens to the right, and if p < 0, the parabola opens to the left.
In this problem we have
[tex]x=\frac{1}{4}y^{2}[/tex]
Convert to standard form
[tex]y^{2}=4x[/tex]
The vertex is the point (0,0)
[tex]4p=4[/tex]
[tex]p=1[/tex] -----> p > 0, the parabola opens to the right
