Answer:
Here we have a problem with translations, where we define a translation as an operation that moves the graph of a function in a given direction.
We will see that the correct option is A.
"The graph of f is shifted 3 units up to create the graph of g."
To get this, we first need to describe vertical translations.
For a function f(x) we define a vertical translation (or vertical shift) of N units as:
g(x) = f(x) + N
If N is positive, the translation is upwards
if N is negative, the translation is downwards.
So here we have:
g(x) = f(x) + 3
So we can see that this is a translation of 3 units upwards, then the correct option is A, the graph of f(x) is shifted (or translated) 3 units up to greater the graph of g(x).
And the graphs of g(x) = x + 3 and f(x) = x can be seen below, where you can see this, where the grey line is g(x).
Explanation: