Answer
Focus: $(-\displaystyle \frac{1}{2},0)\quad$ Directrix: $x=\displaystyle \frac{1}{2}$
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Work Step by Step
$y^{2}=-4px \quad \Rightarrow \quad $the parabola opens left,
$y^{2}=-2x$
$y^{2}=-2(\displaystyle \frac{4}{4})x$
$y^{2}=-4(\displaystyle \frac{1}{2})x \quad \Rightarrow \quad p=\frac{1}{2}$
Focus: $(-\displaystyle \frac{1}{2},0)\quad$ Directrix: $x=\displaystyle \frac{1}{2}$