Parabolic Rotation

The map

x^' = x+1

(1)

y^' = 2x+y+1,

(2)

which leaves the parabola

x^('2)-y^'=(x+1)^2-(2x+y+1)=x^2-y

(3)

invariant.

See also

Parabola, Rotation

Explore with Wolfram|Alpha

WolframAlpha

More things to try:

Cite this as:

Weisstein, Eric W. "Parabolic Rotation." From MathWorld--A Wolfram Resource. https://mathworld.wolfram.com/ParabolicRotation.html

Subject classifications