Question

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

Answer 1

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 $k$ the function is translated k units to the right.

So, in your case, $k=1$

And thus you have

$g(x) = f(x+1) = 2^{x+1}$

Answer 2

Answer:

2^x+1

Step-by-step explanation: