Exploring graphs of functions

In the picture shown below, the graph of is shown. In fact, the graphs of the two functions have also been plotted. When the functions coincide and so it appears that there is only one graph. On the right-hand side, you will see a slider which will allow you to change the value of : try doing this and explore what happens to the graphs of and . Describe the effect on each graph as accurately as you can as the functions change from to and .