Investigate the graphs of y = [1 + (x - t)^2][1 + (x + t^)2] as the
parameter t varies.
In this 'mesh' of sine graphs, one of the graphs is the graph of
the sine function. Find the equations of the other graphs to
reproduce the pattern.
Investigate the family of graphs given by the equation x^3+y^3=3axy
for different values of the constant a.
Sketch the graphs for this implicitly defined family of functions.
Sketch the members of the family of graphs given by y =
a^3/(x^2+a^2) for a=1, 2 and 3.