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

The vertex of a parabola lies exactly midway between the focus and the directrix along the axis of the parabola.Focus: $S(0,0)$ Directrix: $x=2$ The axis of the parabola is the line passing through the focus perpendicular to the directrix, which is the $x$ -axis ($y=0$).The intersection of the directrix and the axis is the point $(2,0)$.The vertex is the midpoint of $(0,0)$ and $(2,0)$:
$$\text{Vertex}=\left(\frac{0+2}{2},\frac{0+0}{2}\right)=(1,0)$$