Explain the difference between the transformations that must be used to obtain the graphs of the following pairs of functions: 4f(x) and f (4x)

Which approach to the theory-and-research cycle does the following sequence reflect: (1) specific observations suggest generalizations, (2) generalizations produce a tentative theory, (3) the theory is tested through the formation of hypotheses, and (4) hypotheses may provide suggestions for additional observations?

Any is very appreciated! (picture is provided below)not sure how to do this at all won't lie

Graph the linear function using the slooe and y intercept