Composite Functions: Linear to Cubic

Open a new graphing window.

Define linear function f1 in terms of a variable.

Press Enter to graph it.

Now define cubic function f2 in terms of f1.

Press Enter to graph it.

Notice that how still shares the same y-intercept as the original function.

Define function cubic f3 that results in a vertical translation of the original function.

Now define cubic function f4 that it results in a horizontal translation of the original function.

Change function f1 and see how the corresponding functions change, while they maintain

their relative distance from f1.