📐Parabola Calculator
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.
- 1Vertical: y = x²/(4f) where f = focal length
- 2Focus at (0, f) · Directrix at y = −f
- 3Latus rectum length = 4f
Parabola y = x²/12=Focus (0, 3) · Directrix y=−3 · Latus rectum 12p=3, so f=3
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Fun Fact
Parabolic reflectors focus all parallel incoming rays to one point — enabling satellite dishes and reflecting telescopes. Discovered by Diocles around 190 BC.
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