Parabola focus at  and directrix line is .

Since the directrix is , then the parabola is vertical.

Standard form of vertical parabola is .

Where is vertex.

If then the parabola opens to the down and parabola opens up.

Directrix is  and focus at .

Focus .

and .

.

Directrix

.

Vertex of parabola is .

Find the value of .

Substitute in .

.

Substitute the values  and  in standard form.

The parabola equation is .

Latus rectum is the line segment of a parabola perpendicular to axis which has both ends on the curve.

Obtain the points define the latus rectum, let 

Then 

The two points that define latus rectum are .

Graph:

Draw the coordinate plane.

Plot the vertex, focus, and the two points

Draw the directrix line.

Connect the plotted points with smooth curve.

The parabola equation is .

The two points that define latus rectum are

Graph of :

.