Question

The equation of the parabola with focus (3, 0) and the directrix x + 3 = 0 is __________.

Answer 1

For a given parabola,
focus is (3, 0) and directrix is x + 3 = 0
Since focus is (0, 0)
⇒ a = 3
∴ y² = 4 × (3) x
i.e. y² = 12x is the required equation of parabola.