Question

The graph shows f(x) and its transformation g(x) . Enter the equation for g(x) in the box. g(x) =

Answer 1

2^x+1

Explanation:

Answer 2

You can see that the graph of
`g(x)` is the graph of
`f(x)` translated one unit to the left.

Horizontal translations are given by the transformation

`f(x) \mapsto f(x+k)`

If
`k>0` the function is translated k units to the left, else if
`k<0` the function is translated k units to the right.

So, in your case,
`k=1`

And thus you have

`g(x) = f(x+1) = 2^(x+1)`