Question

Which of the following is equal to g(x)?

Answer 1

Answer: Option D

$g(x) = 3 ^ x +1$

Step-by-step explanation:

If we have a function f(x), then the graph of $y = f (x)$ can be shifted upwards k units using the transformation $g (x) = f (x) + k$.

Where k is a positive number.

In this problem the function f(x) is:

$f (x) = 3 ^ x$

This function has its intercept with the y-axis in y = 1

Then, the graph of g(x) is equal to the graph of f(x) shifted 1 unit up and cuts to the y axis in y = 2.

Therefore g(x) is equal to the function f(x) after the transformation $y = f(x) +1$

So:

$g(x) = 3 ^ x +1$