Question

The function f(x)

f(x)
=
In x is transformed into the equation
3.7 ln x.
Fill in the correct responses in the blanks below.
f(x)
= 3.7 ln x
parent function by a factor of
A
A/

Answer 1

f(x) = 3.7ln(x) is a vertical stretch of the parent function by a factor of 3.7

Explaining the transformation between the functions

From the question, we have the following parameters that can be used in our computation:

f(x) = ln(x)

Also, we have the transformed function to be

f(x) = 3.7ln(x)

When a function is multiplied by a constant, it results in a vertical stretching or compression of the graph.

In this case, multiplying the parent function by 3.7 will vertically stretch the graph by a factor of 3.7

This means that the factor 3.7 represents a vertical stretch