Question

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

Answer 1

Answer:

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

Explanation:

Given the function f(x) and g(x) = f(x)-4

This means that the function g(x) is 4 less than the function g(x) i.e the function g(x) is reduced by 4. Since the negative values on a graph are located from the origin down the negative y axis and towards the negative x axis, we can conclude that the graph g(x) translated 4 units down. of f(x). This is translated along the y axis because the function g(x) serves as the output for all values on input variable x.

The g(x) can be written as a function of y i.e we can rewrite it as y = f(x)-4.

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