jmc

Question

The graph of y = f(x) is shown below. FIGURE The graph of y = g(x) is shown below. FIGURE What is g(x) in terms of f(x)? For example, if you think g(x) = f(x) + 1, enter "f(x) + 1", without quotation marks.

Accepted Answer

First, we reflect the graph in the y-axis. The corresponding function is y = f(-x). FIGURE Then, we can shift the graph four units to the right. Thus, g(x) = f(-(x - 4)) = f(4 - x).