Given that we need to find the equation of the parabola whose vertex is at origin and axis along the x - axis and also passing through (2, 3).
We know that the standard equation of the parabola whose axis is x - axis and vertex at origin is y2 = 4ax.
Substituting (2, 3) in the equation of parabola.
⇒ (3)2 = 4a(2)
⇒ 9 = 8a
⇒ 2y2 = 9x.
∴The equation of the parabola is 2y2 = 9x.
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