The focus of the parabola is and the parabola contains
.
The parabola is opens down.
\Standard form of the vertical parabola is .
Where vertex : , focus :
, axis of symmetry:
and directrix:
.
Focus of the vertical parabola: .
and
.
.
Vertex of the vertical parabola : .
Substitute and
in standard form.
and
and
.
As the parabola opens down, .
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
.