The focus is at .

Directrix of the line is .

Since the directrix of the line is then the parabola is vertical.

Standard form of the vertical parabola is , where  is vertex.

If then the parabola opens to the left and parabola opens to the right.

Directrix is  and focus at .

Focus .

and .

Directrix .

Substitute .

.

Substitute .

.

Substitute in .

.

The vertex of the parabola is .

Substitute and in .

.

Therefore, the equation of the parabola is .

Latus rectum is the line segment of a parabola perpendicular to axis which has both

ends on the curve.

The parabola equation is .

Obtain the points define the latus rectum at .

Substitute and .

and

and .

The points and determine the latus rectum.

The line is the directrix.

Graph :

(1) Draw the coordinate plane.

(2) Graph the parabola equation .

(3) Plot the vertex, focus, and the two points and .

(4) Draw the directrix line.

(5) Connect the plotted points with smooth curve.

The parabola equation is and the two points are and .

.