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

Question

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Mathematics

10 October, 08:31

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

+5

Answers (2)

Know the Answer?

Khalil Yates · Answer 1

The correct answer is C. because the graphs are the same, save that - 1 on the graph of g (x), which moves the graph down 1 unit

Rowan Carpenter · Answer 2

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

Step-by-step explanation:

AS you can see the graphs are linear and have the same slope, the form of the function is: y=mx+c as you can see in both functions the slope is 1, only in f (x) - 1 the graph will be translated 1 unit down, so both lines having the same slope are parallel and just separated 1 unit.