How does the graph of g(x) = x+ 4 compare with the graph of the parent
function, fx) = x?

It is moved 4 units up.

Step-by-step explanation:

If you have trouble visualizing it, there is an app i recommend, its call Desmos.

g(x) is a translation of f(x) up 4 units

Step-by-step explanation:

We see that the difference between g(x) and f(x) is that g(x) has an additional + 4.

According to transformations, we know that this will be a translation of some sort. Since the + 4 is to the entire function, we know that it is a vertical translation. And, since it is + 4 and not - 4, we know that this is a translation up 4 units.

Thus, g(x) is a translation of f(x) up 4 units.

Hope this helps!

a negative exponent is translated as follows:

so, we have