QuestionReflect the function $f(x)=\frac{1}{5} x+6$ in the $y$ -axis. What is the new function?

Studdy Solution

STEP 1

Assumptions1. The given function is $f(x)=\frac{1}{5} x+6$ . We need to find the reflection of this function in the y-axis

STEP 2

The reflection of a function $f(x)$ in the y-axis is given by $f(-x)$ .

STEP 3

Substitute $-x$ for $x$ in the original function to find the reflected function.
$f(-x)=\frac{1}{5} (-x)+6$

STEP 4

implify the function.
$f(-x)=-\frac{1}{} x+6$ The function $f(x)=-\frac{1}{} x+6$ is the reflection of the original function in the y-axis.

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