Question

Please help.

The graph of the function f(x)=|x+3| is translated 5 units down.

What is the equation of the transformed function?

Enter your answer in the box.

g(x)= _________

Answer 1

g(x)=|x+3|-5
down five units means add -5 to then end of the equation

Answer 2

Keywords

transformed function, translation, rule

In this problem we have

`f(x)=|x+3|`

we know that

If the translation is
`5` units down

then

the rule of the translation is equal to

`(x,y)-------> (x,y-5)`

therefore

the answer is

the equation of the transformed function is equal to

`g(x)=|x+3|-5`

see the attached figure to better understand the problem