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Cubical Parabola

\begin{figure}\begin{center}\BoxedEPSF{CubicalParabola.epsf}\end{center}\end{figure}

An equation of the form

\begin{displaymath}
y=ax^3+bx^2+cx+d,
\end{displaymath}

where the three Roots of the equation coincide (and are therefore real), i.e.,

\begin{displaymath}
y=a(x-r)^3=a(x^3-3rx^2-3r^2x-r^3).
\end{displaymath}

See also Cubical Conic Section, Cubical Ellipse, Cubical Hyperbola, Cubical Parabolic Hyperbola, Parabola, Semicubical Parabola




© 1996-9 Eric W. Weisstein
1999-05-25