Question

What is the value of p? x=1/4y^2

Answer 1

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

$(y - k)^{2}= 4p(x - h)$

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

$x=\frac{1}{4}y^{2}$

Convert to standard form

$y^{2}=4x$

The vertex is the point (0,0)

$4p=4$

$p=1$ -----> p > 0, the parabola opens to the right