Q:

The graphs of f(x) = (2/3)^x and g(x) = (2/3)^x-2 are shown below. Which translation transformed the parent function, f(x), to g(x)?a translation right 2 unitsa translation left 2 unitsa translation up 2 unitsa translation down 2 units

Accepted Solution

A:
A translation right 2 units.
The normal f(x) went 2 units to the right, as seen by the graph.
Also, since parent function was (2/3)^x, and transformed into (2/3)^x-2, you should know that all operations performed to the top or x in that particular function means horizontal changes, move right or left, and they're also opposites.
Here, x-2 means move to the right although you'd think it would mean subtracting and moving to the left.