QuestionWhat does the transformation $g(x)=3 f(x)$ do to the function $f$ ?

Studdy Solution

STEP 1

Assumptions1. $f$ is a function of $x$ . . $g(x)$ is a transformation of $f$ .
3. $g(x) =3f(x)$ .

STEP 2

The transformation of $f$ represented by $g(x)$ can be determined by comparing the function $f(x)$ and $g(x)$ .

STEP 3

In this case, $g(x) =3f(x)$ . This means that every output value of $f$ is multiplied by3 to get the corresponding output value of $g$ .

STEP 4

This kind of transformation is called a vertical scaling or a vertical stretch by a factor of3.
The transformation of $f$ represented by $g(x) =3f(x)$ is a vertical stretch by a factor of3.

Was this helpful?

Get Studdy

Scan QR code with your device to get Studdy on iOS or Android

QR code

Studdy solves anything!

Download the app

Start learning now

Download Studdy AI Tutor now. Learn with ease and get all help you need to be successful at school.

Parents Influencer program Contact Policy Terms