Question

What is the value of p? 1, ، وہی Answer here

Answer 1

Step-by-step explanation:

Given:

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

The distance between the vertex and the focus is called a focal length or p. To find it, we must use the standard equation for the given parabola which is right-left facing with a vertex at (h,k) and a focal length |p|.

`4p(x-h)=(y-k)^2`

So, we simplify the given equation:

`\begin{gathered} x=-(1)/(8)y^2 \\ \text{Simplify and rearrange} \\ -8x=y^2 \\ \text{Next, we factor:} \\ 4(-2)x=y^2 \\ We\text{ rewrite this as} \\ 4(-2)(x-0)=(y-0)^2 \end{gathered}`

Therefore, the value of p or focal length is 2 since we use the absolute value or positive value.