Find the equation of the parabola whose vertex is at (0, 0) and the focus is at point S (5, 0).

The vertex of the parabola is at O (0, 0) and focus is at S (5, 0).
                y = 0 for both points
                The axis of the parabola is along y = 0 or x-axis.
∴                   The parabola is of the standard form                        ...(i)
Now, the focus is at (a, 0)  (5, 0)  a = 5
Hence, the equation of the parabola is