Find the eq

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

⇒

Now,

⇒

⇒

⇒ 2y² = 9x.

∴The equation of the parabola is 2y² = 9x.