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Which statement correctly describes the relationship between the graph of f(x)=2x and the graph of g(x)=f(x)−4?

The graph of g(x) is the graph of​​ ​ f(x) translated 4 units down.
The graph of g(x) is the graph of ​ f(x) translated 4 units right.
The graph of g(x) is the graph of ​​ f(x) translated 4 units up.
The graph of g(x) is the graph of f(x) translated 4 units left.

Respuesta :

The graph of g(x) is the graph of f(x) translated 4 units down. 

Remember: 

if we have the graph of a function f(x); then :
f(x)+b  ; is the  graph f(x) translated b units up
f(x)-b; is the graph f(x) translated b units down.
f(x+b); is the graph f(x) translated b units left.
f(x-b); is the graph f(x) translated b units right.

In this case:
g(x)=f(x)-b 
Bordeom
Just took the test and the answer is: The graph of g(x) is the graph of f(x) translated 4 units down :)

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