Question

Which transformation best describes the graph of f(x) = 5ex + 3 as a transformation of the graph of g(x) = ex? a vertical stretch of 5 and a horizontal translation 3 units to the left a vertical compression of 5 and a horizontal translation 3 units to the left a vertical stretch of 5 and a horizontal translation 3 units to the right a vertical compression of 5 and a vertical translation 3 units up

Answer 1

Answer: A on edg

Explanation:

Answer 2

General Idea:

In general for the function of the form
`f(x) = ag(x+c)`, c represents the horizontal translation to the left, for
`a > 1`, ' a ' represents vertically stretch by factor of ' a ', and for
`0 < a < 1`, ' a' represents vertical compression by factor of ' a '.

Application of Concept:

Here in our problem,
`f(x) = 5e^(x+3)` and
`g(x)=e^x`.

We can rewrite our function as
`f(x) =5g(x+3)`

In our problem a = 5 and c = 3.

Conclusion:

The description of graph of
`f(x) = 5e^(x+3)` as transformation of the graph of
`g(x)=e^x` will be "A vertical stretch of 5 and a horizontal translation 3 units to the left"