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
\.