Find the vertex, the focus, and the directrix. Then draw the graph.

y^{2} = -6x

**Solution:-**

An equation of the form y^{2} = 4px is the standard equation of a parabola with the vertex at the origin, focus at (p,0) and directrix x = -p.

To write the equation y^{2} = -6x in the form y^{2} = 4px, p = –

Thus , y^{2} = -6x is equivalent to y^{2} = 4(-)x.

The vertex is located at (0,0).

The focus is at (-,0).

The directrix is the line x=.

The correct graph of the relation is shown to the right.