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

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.

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AFOKE88 AFOKE88 · Answer 2 · 2021-10-22T11:19:38+02:00

The statement that correctly describes the relationship between the graph of f(x) and g(x) = f(x) - 1 is;

Option C; the graph of g(x) is the graph of f(x) translated 1 unit down

This is all about translations of graphs under transformations.

In translations of graphs, we usually shift the graph left, right, up or down.

When we shift left, we add the number of units shifted to the value of x inside the bracket whereas when it is shifted right, we subtract the number of units shifted to the value of x inside the bracket

Now, along the vertical axis; when it is shifted up, we add the number of units shifted to f(x) whereas when it is shifted down, we subtract the number of units shifted to f(x).

Now, applying our definitions to our question. We are told that g(x) = f(x) - 1

This means 1 unit is subtracted from f(x), this means f(x) was shifted down by 1 unit.

In conclusion, Option C is the correct answer.

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