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9.2 Parabolas

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9.2 Parabolas

Emerald Seing

A parabola is defined in terms of a fixed point, the focus, and a fixed line, the directrix. PF=PD meaning that any point on the parabola to the focus is equal to the shortest distance from that point to the directrix.

This is only true for equations with the center at (0,0).

Horizontal Directrix

- The parabola will open either up or down
- The equation will have Y by itself on one side
- The line of the directrix will cross the Y-axis
- The axis of symmetry will be on the Y-axis
- Y=…

Vertical Directrix

- The parabola will open either right or left
- The equation will have X by itself on one side
- The line of the directrix will cross the X-axis
- The line of symmertry will be on the X-axis
- X=…

These equations apply to all parabolas who’s centers are not located at (0,0).

Example

Two