I "eyeballed" the two functions . . .
List the sequence of transformations that is necessary to obtain the graph of from
How to do this question algebraically using and method?
Start with: .
Add 1: .
. . Hence: .
The sequence of transformations is:
(1) Replace with .
. . .This reflects the graph of over the -axis.
(2) Replace with
. . .This contracts the graph to "half its width."
(3) Add 1.
. . .This raises the graph one unit.
The result is the graph of