Answer
$y^2=\frac{1}{2}x$
Work Step by Step
It is a parabola with horizontal axis. Directrix: $x=-p$
Directrix: $x=-p=-\frac{1}{8}$
$p=\frac{1}{8}$
Equation: $y^2=4px$
$y^2=4(\frac{1}{8})x$
$y^2=\frac{1}{2}x$
You can help us out by revising, improving and updating this answer.
Update this answerAfter you claim an answer you’ll have 24 hours to send in a draft. An editor will review the submission and either publish your submission or provide feedback.