Answer
$y^{2}=4x$
Work Step by Step
The distance from focus to Directix is $2\left| p\right|$
$$\Rightarrow 2\left| p\right| =2\Rightarrow \left| p\right| =1$$
If focus is on the positive $x$ axis then
$p=\left( 1,0\right) $
$y^{2}=4px=4\times 1\times x=4x$
