Solution
- The transformation from f(x) to g(x) is 3 units to the left and 1/2 vertical compression.
- This implies that we need to subtract 3 units from the values of x in the table of f(x), while we multiply the values of y by 1/2.
- Performing these transformations, will help us create the table for g(x) and would enable us proceed with graphing g(x).
- Thus, we have:
The table for g(x) is given below:
- Plotting these values on a graph, we have: