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

what he said

Explanation:

Answer 2

Answer: Option C

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 <0` 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"