Final answer:
The graph of y = f(4x) is obtained by compressing the graph of f horizontally by a factor of 4, without altering the y-values.
Step-by-step explanation:
The question asks how the graph of the function y = f(4x) can be obtained from the graph of the function f. To obtain the graph of y = f(4x), every x-coordinate on the graph of f should be divided by 4, effectively compressing the graph horizontally by a factor of 4.
It's important to note that there's no change to the y-values, meaning there's no vertical stretching or shrinking. This procedure creates a new graph that represents the dependence of y on x when x is scaled by a factor of 4.