Composite Functions: Linear to Quartic

Open a new graphing window. Define linear function f1 in terms of a variable.

Press Enter to graph it.

Now define quartic function f2 in terms of f1. Press Enter to graph it.

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

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

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

Change f1 and see how the corresponding functions change,

while they maintain their relative distance from f1.