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.

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9.2 Parabolas

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9 2 parabolas

9.2 Parabolas

Emerald Seing


9 2 parabolas

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

Finding The Equation


9 2 parabolas

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


9 2 parabolas

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 one

Example One


Example two

Example Two


9 2 parabolas

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


Example one1

Example One


9 2 parabolas

Example

Two


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