Answer
Focus: $(\frac{3}{4},0)$ (Red point)
Directrix: $x=-\frac{3}{4}$ (Black line)
Work Step by Step
Parabola in the standard form with the vertex at origin (horizontal axis):
$y^2=4px$
$y^2=3x$
That is:
$4px=3x$
$p=\frac{3}{4}$
$(p,0)=(\frac{3}{4},0)$
Directrix: $x=-p=-\frac{3}{4}$
