Question

Find the equation of the following parabolas:

Directrix x = 0, focus at (6, 0)

Answer 1

Given that directrix = 0 and focus (6, 0)

∴ The equation of the parabola is (x – 6)² + y² = x²

⇒ x² + 36 – 12x + y² = x²

⇒ y² – 12x + 36 = 0

Hence, the required equations is y² – 12x + 36 = 0