What is the directrix of the parabola given by the equation `x=y^2` ?

### 1 Answer | Add Yours

The for the parabola `y^2=4px` , the focus is found at `x=p` . This means for the parabola `y^2=x` , the focus is at `x=1/4` . The directrix is then the line perpendicular to the line of symmetry and equidistant from the focus and the vertex.

**That means that the directrix is the line `x=-1/4` **

**Sources:**

### Join to answer this question

Join a community of thousands of dedicated teachers and students.

Join eNotes