Question

What statement correctly describes the relationship between the graph of f(x) and the graph g(x)=f(x) -4

A. the graph of g(x) is the graph of f(x) translated 4 units down
B. the graph of g(x) is the graph of f(x) translated 4 units left
C. the graph of g(x) is the graph of f(x) translated 4 units up
D. the graph of g(x) is the graph of f(x) translated 4 units right

Answer 1

Option A. is correct.

Explanation:

We have f(x) and g(x) are two different function of x and they are related by

g(x) = f(x) - 4.

Now, we are asked to answer, the nature of the graph of g(x) with respect to the graph of f(x).

It is clear from the relation between g(x) and f(x) that whatever be the value of x, there will be a value of f(x) and the corresponding value of g(x) will be just 4 less than that.

Therefore, the graph of g(x) will be the graph of f(x) translated 4 units down.

So, option A. is correct. (Answer)