The focus of the parabola is and the directrix
.
The equation of the parabola is in the form of .
Here is the focus of the parabola and the directrix of the parabola is
.
The vertex is in between the focus and the directrix.
\Hence the vertex is
.
Substitute in
.
.
Since , the parabola opens up.
The equation of parabola is .
Substitute and
.
.
Therefore, the equation of the parabola is .
The equation of the parabola is .