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 .
Construct a table values to graph the general shape of the curve.
\The equation is .
Solve for .
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Graph :
\Graph the vertex, focus, axis of symmetry and directrix of the parabola.
\Plot the points obtained in the above table.
\Connect those points with a smooth curve.
\Graph of :
The standard form of the equation is .
Graph of is