Find the coordinates of the focus, axis of the parabola, the equation of the directrix and the length of the latus rectum.`y^2=10 x`

Explanation

To solve the problem of finding the coordinates of the focus, the axis of the parabola, the equation of the directrix, and the length of the latus rectum for the parabola given by the equation \(y^2 = 10x\), we can follow these steps:

### Step-by-Step Solution:

1. **Identify the Standard Form of the Parabola:**
The given equation of the parabola is \(y^2 = 10x\). The standard form of a parabola that opens to the right is given by:
\[
y^2 = 4ax
...