Parameters for Plotting a Cubic Polynomial
Parameters for Plotting a Cubic Polynomial
A cubic polynomial is normally characterized by the coefficients ,,,. However, these coefficients are not well suited to describe the geometrical shape of the graph of the cubic. Nickalls found a set of parameters that do a better job. The relation between the parameter sets is given in the Details section.
f(x)=++x+
a
3
3
x
a
2
2
x
a
1
a
0
a
3
a
2
a
1
a
0
(,,h,δ)
x
N
y
N
The parameters define the plot range -dx≤x≤+dx and -dy≤y≤+dy.
(dx,dy)
x
N
x
N
y
N
y
N