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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`
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