Exercise 20 Page 424

• If a<0, it causes a reflection in the x-axis.
• If 0 < |a| <1 it causes a vertical shrink, taking the graph closer to the x-axis.
• If 1 < |a| it causes a vertical stretch, taking the graph away from the x-axis.

With this in mind, let's take a look at the graph given in the exercise for Part A.

As we can see above, the graph of g(x) is being vertically stretched but it is not reflected in the x-axis. Therefore, the parameter a can be any real number greater than 1.

Let's start by analyzing the graph given for Part B.

As we can see above, the graph of g(x) is being vertically shrunk and reflected in the x-axis. Therefore, by the same arguments mentioned in Part A, the parameter a can be any real number -1