Answer
Vertex: $(0,0)$
Focus: $\left(\frac{9}{4},0\right)$
Directrix: $x=-\frac{9}{4}$
Work Step by Step
Recall: The parabola $4px=y^2$ has a vertex at $(0,0)$, a focus at $(p,0)$, and a directrix $x=-p$.
We have $9x=y^2$.
Then,
$4p=9$
$p=\frac{9}{4}$
So, the vertex is $(0,0)$, the focus is $(\frac{9}{4},0)$, and the directrix $x=-\frac{9}{4}$.
Sketch the graph:
