Question

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.

Answer 1

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

Answer 2

Just took the test and the answer is: The graph of g(x) is the graph of f(x) translated 4 units down :)