Step 1:

The vertex is $\"\"$ and focus is $\"\"$ .

The equation of parabola with vertex $\"\"$ , focus $\"\"$ and directrix $\"\"$ is $\"\"$ .

Here $\"\"$ and directrix is $\"\"$ .

Required equation of parabola is $\"\"$ .

$\"\"$ .

Points of latus rectum can be found by letting $\"\"$ in $\"\"$ .

Find the two points of latus rectum by putting $\"\"$ in $\"\"$ .

$\"\"$

$\"\"$ .

Points of latus rectum are $\"\"$ .

Step 2:

Graph:

$\"\"$