The focus of the parabola is and parabola opens left.
\
Parabola contains .
Parabola opens left means that it is a horizontal parabola.
\Standard form of the horizontal parabola is .
Where
\Vertex : ,
Focus : .
Here
Substitute and
in standard form.
and
.
Since the parabola opens left, then .
Therefore, .
.
Vertex of parabola : .
Axis of symmetry : .
Axis of symmetry : .
Directrix : .
Directrix : .
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 :
\Graph the vertex and focus.
\Graph of :
The standard form of the equation is .
Graph of :
.