Since the vertex of the parabola is at (0, 0) and the axis is along x-axis.
∴ The equation of the parabola is of the form y2 = 4ax
Since the parabola passes through point (2, 3)
∴ (3)2 = 4a × 2 = 9 = 8a ⇒ a =

9

8

The required equation of parabola is
y2 =

4×9

8

x ⇒ y2 =

9

2

x ⇒ 2y2 = 9x.