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

General Idea:

In general for the function of the form , c represents the horizontal translation to the left, for , ' a ' represents vertically stretch by factor of ' a ', and for , ' a' represents vertical compression by factor of ' a '.

Application of Concept:

Here in our problem, and .

We can rewrite our function as

In our problem a = 5 and c = 3.

Conclusion:

The description of graph of as transformation of the graph of will be "A vertical stretch of 5 and a horizontal translation 3 units to the left"

step-by-step explanation: