Write a g rule for g that represents a translation 2 units down, followed by the reflection in the x-axis of the graph of f (x) = 2^x

The answer to this question is g (x) = - 2^x + 2. You first translate it down

g (x) = 2^ (x) - 2

Then you reflect it in the x-axis by multiplying everything by a negative, which results in

g (x) = - (2^ (x) - 2) = - 2^ (x) + 2