Features of a Parabola

A parabola is the set of all points P in a plane that have the same distance from a fixed point F (the focus) as they are from a fixes line D (the directrix).

Orientation:  There are four main orientations of the parabola which are up, down, right and left.

Equation:

Orientation
Graph
Verbal Description of the Equation
Equation
Up
Vertical orientation will have the square on the x variable. (x-h)^2=4a(y-k)
Down
 Vertical orientation will have the square on the x variable and will have a negative because of the reflection. (x-h)^2=-4a(y-k)
Right
Horizontal orientation will have the square on the y variable. (y-k)^2=4a(x-h)
Left
Horizontal orientation will have the square on the y variable and will have a negative because of the reflection. (y-k)^2=-4a(x-h)

Features of A Parabola Oriented Up

Study the vocabulary and the location of these important features of a parabola.