Since the vertex A is (0,0) and the axis of the parabola is the x-axis.
Equation of the parabola is either of the form y2=4ax or y2=−4ax
The parabola passes through point (2,3) which lies in the first quadrant
Therefore, the equation of the parabola is of the form y2=4ax
Point (2,3) must satisfy the equation y2=4ax
∴32=4a(2)
⇒a=98
Thus, the equation of the parabola is
y2=4(98)x
y2=92x
2y2=9x