The vertex is at and the focus is at .

The vertex and focus of the parabola are lies 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 equation of the parabola is .

To find the points that define the latus rectum, since it is a parabola latus rectum .

.

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, let .

Substitute in .

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 points are and .