QuestionFind the transformation of $f(x)=3x-5$ as $f(x+3)$ , which shifts the graph left by 3 units.

Studdy Solution

STEP 1

Assumptions1. The original function is $f(x)=3x-5$ . The transformation of the function is denoted as $f(x+3)$

STEP 2

To find the transformation of the function, we need to replace every instance of $x$ in the original function with $(x+)$ .
$f(x+) =(x+) -5$

STEP 3

Next, we need to simplify the function by distributing the3 to both $x$ and3 in the parenthesis.
$f(x+3) =3x +9 -5$

STEP 4

Finally, we simplify the function by subtracting from9.
$f(x+3) =3x +4$ The transformation of the function $f(x)=3x-$ to $f(x+3)$ is $f(x+3)=3x+4$ . This means the graph of $f(x)$ is shifted to the left by3 units.

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