Answer
$y^{2}=-3x$
Work Step by Step
Given:$|4p|=3; p\lt 0$
This gives: $p=-\dfrac{3}{4}$
The general form of the equation of a parabola which opens right is
$y^{2}= 4px$
Thus, the equation of the parabola becomes:
$y^{2}= (4)(-\dfrac{3}{4})(x)$
$\implies y^{2}=-3x$