Question

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)?

Answer 1

Answer: Option C

Step-by-step explanation:

If the graph of the function $g(x)=f(x) +b$  represents the transformations made to the graph of $y= f(x)$  then, by definition:

If $b> 0$ the graph moves vertically upwards.

If $b$ the graph moves vertically down

In this problem we have the function $g(x)=e^x+5$ and our parent function is $f(x) = e^x$

therefore it is true that $b =5 > 0$

Therefore the graph of $f(x)=e^x$ 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"