A parabola has the origin as its focus and the line x=2 as the directrix.

Question

A parabola has the origin as its focus and the line $x=2$ as the directrix. Then the vertex of the parabola is at:

Accepted Answer

Vertex of a parabola is the mid point of focus and the point

where directrix meets the axis of the parabola.

Here focus is $$O\left( {0,0} \right)$$ and directrix meets the axis at $$B\left( {2,0} \right)$$

$$\therefore$$ Vertex of the parabola is  $(1,0)$

Solutions · 1