Problem:
Given the family of functions
f(x) = x
^{3}
+ a x
^{2}
with parameter
a
, draw the graphs for various values of
a
between
-3
and
3
.
Visualization:
The following LiveMath Notebook contains an animation which draws the desired graphs as
a
ranges from
-3
to
3
in steps of
0.3
.