Question

Find the equation of the parabola whose vertex is O(0, 0) and focus at (–7, 0).

Answer 1

The vertex of the required parabola is (0, 0) and focus is at (–7, 0).

∴ its axis is along X-axis

∴ its equation is of the form y² = 4ax  ...(1)

Then the focus is (a, 0) which is given to be (– 7, 0)

∴ a = – 7

∴ by (1), the equation of the parabola is y² = – 28x.