Task 1: Revising exponential functions

Explore graphs of exponential functions, i.e. those with equations of the form .

Adjust the value of a using the slider. 1. What do the graphs of have in common for different values of a? 2. How do the graphs of differ for different values of a?... - what happens if a>1? - what happens if 0<a<1? - what happens if a=1? 3. What kind of transformation links all the different graphs of ? e.g. you can you transform to ?