The focus of the parabola :
.
The vertex of the parabola :
.
Since the
- coordinate of the focus and vertex is same, the parabola is vertical.
Standard form of the vertical parabola is
.
Where
\Vertex :
,
Focus :
,
Axis of symmetry :
,
Directrix :
.
Vertex of the vertical parabola :
.
So,
and
.
Focus of the vertical parabola :
.

.
Since
, the parabola opens up.
Axis of symmetry :
,
Directrix :
.
Now write the equation for the parabola in standard form using the values of
, and
.
Standard form of the vertical parabola is
.
Substitute the values of
,
, and
in standard form.

Therefore, the standard form of the equation is
.
Graph the vertx, focus, axis of symmetry, and directrix.
\Construct a table values to graph the general shape of the curve.
\The equation is
.
Solve for
.

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Plot the points obtained in the above table.
\And connect those points with a smooth curve.
\Graph :
\Graph of
:

The standard form of the equation is
.
Graph of
:

.