Question

What is the value of p?


`x=-(1)/(8) y^2`

**The question is not incomplete. Thank you**

Answer 1

`p = - 2`

Step-by-step explanation

The given equation is

`x = - (1)/(8){y}^(2)`

Multiply both sides by -8

`\implies \: {y}^(2) = - 8x`

We now compare this to the general equation of the parabola:

`{y}^(2) = 4px`

This implies that,

`4p = - 8`

Divide both sides by 4.

`p = ( - 8)/(4)`

`p = - 2`