Question

Which statement correctly describes the relationship between the graph of f(x) and the graph of g(x) = f(x)-1

a. the graph of g(x) is the graph of f(x) translated 1 unit up

b. the graph of g(x) is the graph of f(x) translated 1 unit right

c. the graph of g(x) is the graph of f(x) translated 1 unit down

d. the graph of g(x) is the graph of f(x) translated 1 unit left

Answer 1

The graph of g(x) = f(x) - 1 is the graph of f(x) translated 1 unit down.

Step-by-step explanation:

The relationship between the graph of f(x) and the graph of g(x) = f(x) - 1 is described as follows: the graph of g(x) is the same as the graph of f(x) but shifted vertically. Since we are subtracting 1 from the entire function f(x), this results in translating the graph of f(x) 1 unit down.

Therefore, the correct statement is c. the graph of g(x) is the graph of f(x) translated 1 unit down.