How to Calculate Parabola
What is Parabola?
A parabola is the set of points equidistant from a focus and a directrix. It is the path of projectiles under gravity and the shape of reflecting telescopes, satellite dishes, and car headlights.
Step-by-Step Guide
- 1Vertical: y = x²/(4f) where f = focal length
- 2Focus at (0, f) · Directrix at y = −f
- 3Latus rectum length = 4f
Worked Examples
Input
Parabola y = x²/12
Result
Focus (0, 3) · Directrix y=−3 · Latus rectum 12
p=3, so f=3
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