Find the equation of the parabola, if: the focus is at `(a ,0)` and the vertex is at `(a^(prime),0)`

Explanation

To find the equation of the parabola given that the focus is at \((a, 0)\) and the vertex is at \((a', 0)\), we will consider two cases based on the relative positions of \(a\) and \(a'\).

### Case 1: When \(a > a'\)

1. **Identify the focus and vertex**: The focus is at \((a, 0)\) and the vertex is at \((a', 0)\). Since \(a > a'\), the focus is to the right of the vertex.

2. **Determine the distance \(p\)**: The distance \(p\) from the vertex to the focus is given by:
\[
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