The graph of y=f(x) is shown below:

For each point (a,b) that is on the graph of y=f(x), the point (3a-1,b/2) is plotted, forming the graph of another function y=g(x). As an example, the point (0,2) lies on the graph of y=f(x) so the point (3*0-1,2/2=(-1,1) lies on the graph of y=g(x).

(a) Plot the graph of y=g(x). Include the diagram as part of your solution.

(b) Express g(x) in terms of f(x).

(c) Describe the transformations that can be applied to the graph of y=f(x) to obtain the graph of y=g(x). For example, one transformation could be to stretch the graph vertically by a factor of 4.

Guest Aug 21, 2021

edited by
Guest
Aug 21, 2021