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
.