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.
Sketch the members of the family of graphs given by y = a^3/(x^2+a^2) for a=1, 2 and 3.
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.