How are the functions y = x and y = x - 3 related? How are their graphs related?

Question

How are the functions y = x and y = x - 3 related? How are their graphs related? A. Each output for y = x - 3 is 3 more than the corresponding output for y = x. The graph of y = x - 3 is the graph of y = x translated down 3 units. B. Each output for y = x - 3 is 3 more than the corresponding output for y = x. The graph of y = x - 3 is the graph of y = x translated up 3 units. C. Each output for y = x - 3 is 3 less than the corresponding output for y = x. The graph of y = x - 3 is the graph of y = x translated down 3 units. D. Each output for y = x - 3 is 3 less than the corresponding output for y = x. The graph of y = x - 3 is the graph of y = x translated up 3 units.

Explanation / Answer

y=x and y=x-3

In y=x-3 , because of minus sign, the graph shifts 3 units down .

And the output of y=x-3 is 3 less than the output of y=x

Therefore correct option is c

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