Find the co-ordinates of the focus, the equation of the directrix and latus rectum of the parabola `y^(2) = 20x`.

Explanation

To solve the problem of finding the coordinates of the focus, the equation of the directrix, and the latus rectum of the parabola given by the equation \( y^2 = 20x \), we will follow these steps:

### Step 1: Identify the standard form of the parabola
The given equation of the parabola is \( y^2 = 20x \). The standard form of a parabola that opens to the right is given by \( y^2 = 4ax \).

### Step 2: Compare the given equation with the standard form
From the equation \( y^2 = 20x \), we can compare it with the standard form \( y^2 = 4ax \). Here, we have:
\[
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