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 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 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 in terms of

(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 24, 2021