The vertex is
and focus is
.
The equation of parabola with vertex
and focus
is
and directrix is
.
Here
and directrix is
.
Required equation of parabola is
.
.
Points of latus rectum can be found by substituting
in
.
Find the two points of latus rectum by substituting
in
.

.
Points that define latus rectum are
.
Graph:
\Graph the parabola and plot the all the points.
\
Latus rectum points are
.
Graph of the parabola is
\
.