Question

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 units
a translation left 2 units
a translation up 2 units
a translation down 2 units

Answer 1

Answer: the answer is a

Explanation:

Answer 2

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.