Find the equation of the parabola with the given features.
Focus (0,2) directrix x=2
You're expected to know these basic facts . . .
The Vertex is halfway between the Focus and the Directrix.
There are two forms:
. . . . Vertical: . . . opens up or down: or
. . Horizontal: . . . opens right or left: or
where is the Vertex of the parabola
and is the directed distance from the Vertex to the Focus.
The parabola always "bends around" the Focus.
The parabola always "bends away" from the Directrix.
Sketch the given information:
| o :
F(0,2)* oV :
| o :
- - - - +o- - - + -
o | :
We see that the Vertex is
. . the parabola opens to the left:
. . distance from Vertex to Focus is to the left: