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# 9.2 Parabolas PowerPoint PPT Presentation

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 . Finding The Equation.

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.

### Finding The Equation

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=…

### Example Two

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

Example

Two