Question

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

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 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 left.

Answer 1

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

Answer 2

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

Explanation:

The value of a function is represented on a graph by the vertical distance from the x-axis. When that vertical distance is reduced by 4, the corresponding point is shifted down 4 units.