More in this series...

academix.ca: Math 30-1 resource page

Read the question here: MC 4  


(or here if the AB link is broken)

   

 

Part I: Why does the horizontal shift of an exponential function not change the range?

See possible values of a in the horizontal shift of p(x) = 3(x-a). These
do not affect the minimum y and the maximum y values that form the range of this transformation.

https://www.desmos.com/calculator/qsu4ylsgyd

 

 Part II: Comparing various "altitudes" for the parameter b:

https://www.desmos.com/calculator/5ebr3ciaa6