The focus of the parabola is and the parabola contains
.
Parabola is opens up.
\Standard form of the vertical parabola is .
Where vertex : , Focus :
, Axis of symmetry :
and Directrix :
.
Focus of the vertical parabola : .
So, and
.
.
Vertex of the vertical parabola : .
Substitute and
in standard form.
and
.
As the parabola opens up, .
Therefore, .
Vertex of parabola : .
Axis of symmetry : .
Directrix : .
Standard form of the vertical parabola is .
Substitute the values of ,
, and
in standard form.
Therefore, the standard form of the equation is .
Graph :
\Plot the vertex, focus.
\Graph the parabola , axis of symmetry
and directrix
.
The standard form of the equation is .
Graph of the is