(0, 1.24)

5

10

-5

-10

5

-5

D

Directrix

F

P

Q

*d* = 1.81

*d* = 1.81

Click the F or P or D point and drag to change.

You can move the graph up-down, left-right if you hold down the "Shift" key and then drag the graph.

The **parabola** is defined as the **locus** of a point which
moves so that it is always the same distance from a fixed point
(called the **focus**) and a given line (called the
**directrix**).

The **focus** of the parabola is at (0,p).

The **directrix** is the line y=−p.

The **focal distance** is |p| (Distance from the origin to the focus, and from the origin to the directrix. We take absolute value because distance is positive.)

The **point** (*x*, *y*) represents any point on the curve.

The **distance** *d* from any point (*x*, *y*) to the focus (0,p) is the same as the distance from (*x*, *y*) to the directrix.

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