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)= _________

Respuesta :

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

Keywords

transformed function, translation, rule  

In this problem we have

[tex]f(x)=|x+3|[/tex]

we know that

If the translation is [tex]5[/tex] units down

then

the rule of the translation is equal to

[tex](x,y)-------> (x,y-5)[/tex]

therefore

the answer is

the equation of the transformed function is equal to

[tex]g(x)=|x+3|-5[/tex]

see the attached figure to better understand the problem  



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