Exponential Functions and Transformations

A.) The graph of f(x) is shown in BLUE below. Use the first slider to adjust the base (b) of the exponential function, and observe the effect on the graph of f(x). Select "Show Points" to reveal some basic points on the graph. B.) Reset b=2. Check the box "Show transformations". A new graph in RED will appear. Adjust the values of 'a', 'h', and 'k' to perform transformations on f(x). (Hint: click on the "refresh" button at the top right corner to reset all values)
Concept Questions: 1.) How do different values of b affect the shape of the graph of f(x)? 2.) Check the box "Show Points". For different values of 'b', all points move except for one. Which one? can you explain this?