How to Find the Directrix of a Parabola?

Write the parabola in standard form.

If the parabola is ((x-h)^2 = 4p(y-k)), the directrix is (y = k – p).

If the parabola is ((y-k)^2 = 4p(x-h)), the directrix is (x = h – p).

Identify the vertex ((h,k)).

Identify the value of (p).

Use the correct directrix formula based on the parabola’s orientation.

For a vertical parabola opening up or down, the directrix is a horizontal line.

For a horizontal parabola opening left or right, the directrix is a vertical line.

If the equation is in general form, rewrite it into standard form first.

Suggested for You

Trending Today