The vertex is at and the focus is at .

Both the vertex and focus lie on the horizantal line .

The distance  from the vertex to the focus is .

Where and .

The parabola form of the equation is .

Substiute in the above equation.

The parabola equtaion is

The line is the directrix.

Find the points that define the latus rectum.

Latus rectum of the parabola is .

.

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

To find the points that define the latus rectum, consider .

or

or .

The latus rectum points are and .

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 .

The latus rectum points are and .

Graph of the parabola is

.