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Parabola
Example plots
Equations
x(t) = 2 a t y(t) = a t^2
y = x^2/(4 a)
r(θ) = 4 a tan(θ) sec(θ)
(for a parabola opening upward with vertex at the origin and semilatus rectum 2a)
Properties
algebraic | conic | parametric | quadratic
Basic properties
d = 2
Conic properties
e = 1
{(0, a)}
L = 2 a
p = 2 a
y = -a
Derived curves
evolute | semicubical parabola involute | parabola involute