Equation of a Parabola
Horizontal Parabolas
Parabolas with Vertex at (0, 0) and Axis on the x-Axis

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Parabola with Vertex at (a, b) and Axis Parallel to the x-Axis

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Vertical Parabolas
Parabolas with Vertex at (0, 0) and Axis on the y-Axis

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Parabola with Vertex at (a, b) and Axis Parallel to the y-Axis


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Examples

Given the parabola
, calculate its vertex, focus and directrix.
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Given the parabola
, calculate its vertex, focus and directrix.
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Given the parabola
, calculate its vertex, focus and directrix.



Given the parabola
, calculate its vertex, focus and directrix.



Given the parabola
, calculate its vertex, focus and directrix.



Given the parabola
, calculate its vertex, focus and directrix.
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