Answer
The equation of a parabola becomes: $y^{2}=-x$ which has focus $(-\frac{1}{4},0)$ and directrix is $x=\frac{1}{4}$.
Work Step by Step
The equation of a parabola with vertex $(0,0)$ is $y^{2}=4px$.It has focus $(p,0)$ and directrix $x=-p$.
Take $(-1,1)$ a point shown on the curve.
Thus, $(1)^{2}=4p(-1)$
or, $p=-\frac{1}{4}$
Hence, the equation of a parabola becomes: $y^{2}=-x$ which has focus $(-\frac{1}{4},0)$ and directrix is $x=\frac{1}{4}$.
