Consider the function f(x) = ex and the function g(x), which is shown below. how will the graph of g(x) differ from the graph of f(x)?

Option C

Step-by-step explanation:

If the graph of the function  represents the transformations made to the graph of  then, by definition:

If the graph moves vertically upwards.

If the graph moves vertically down

In this problem we have the function and our parent function is

therefore it is true that

Therefore the graph of is moves vertically upwards by a factor of 5 units.

The answer is the Option C:  "The graph of g(x) is the graph of f(x) shifted up 5 units"

correct answers below: