Geometry
Class 11-12

Parabola Standard Form

y2=4axy^2 = 4ax
02468100123456
y² = 4ax

Adjust Variables

Parameter a
a =
0.55

Standard parabola with vertex at origin, focus at (a,0). All points are equidistant from focus and directrix.

Real-World Applications

Satellite dishes — Parabolic shape focuses signals at the receiver.

Headlight reflectors — Parabolic mirrors create parallel beams from point source.

Solar concentrators — Parabolic troughs focus sunlight for heating.

Projectile motion — Path of thrown objects is parabolic.

Suspension bridges — Cable shape under uniform load.

Radio telescopes — Large parabolic dishes collect weak signals.

Acoustic mirrors — Sound focusing in whisper galleries.

Water fountains — Parabolic water jets.

Ski jumps — Trajectory of jumpers.

Architecture — Parabolic arches for strength.

Community Explanations

No community explanations yet. Be the first to share yours!

to write your own explanation

Community Aha! Moments

to share your insights

No insights yet. Be the first to share!

Related Formulas