Problem:

Consider the following function f (x) = a ( x - d )^3 + c.

Determine the roles of the parameters a, d and c. Graph this function using f (x) = x^3 ( a = 1, b = 0, and c =0). Only test on varible at a time.

a) Determine the range of appooxmiately 5 values for "a" that you will test. Create a graph for each of these.  What does effect does "a" have on the graph?

b) Write a concluding statement for the role of the parameter "a".

c) Setting "a" back to one, repeat steps (1) and (2) for parameters of "c" and "d".