Question

The graph of f(x) is shown below.

Answer 1

(a) I have attached the graph.

(b) The function g(x) is given by g(x) = f(2x + 2)/3.  You can work this out algebraically.  You can also work this out by using the graph of the function.

(c) We can obtain the graph of y = g(x) from the graph of y = f(x) through the following transformations:

* stretch horizontally by a factor of 2

* stretch vertically by a factor of 3

* shift downwards by 2 units