Hello, mattballer0821

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: Code:

o |
|o :
| o :
F(0,2)* oV :
| o :
- - - - +o- - - + -
o | :
| -x=2

We see that the Vertex is

. . the parabola opens to the left:

. . distance from Vertex to Focus is to the __left__:

Therefore: .