Answer
Equation of parabola is $y^{2}=-x$
Focus: $(-\frac{1}{4},0)$
Directrix : $x=\frac{1}{4}$
Work Step by Step
$y^{2}=4px$
is the equation of the parabola with vertex $(0,0)$
focus $(p,0)$ and directrix $x=-p$
From the graph, we can see that $(-1,1)$ is a point on the curve.
Thus,
$(1)^{2}=4p(-1)$
Hence, $p=-\frac{1}{4}$
Equation of parabola is: $y^{2}=-x$
Focus: $(-\frac{1}{4},0)$
Directrix : $x=\frac{1}{4}$
