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aniked [119]
4 years ago
13

How are the functions y=x and y=x-3 related? How are their graphs related? (7 pa

Mathematics
1 answer:
quester [9]4 years ago
8 0

Answer:

Each output for the second function y_2=x-3 is 3 less than the corresponding output for the first function y_1=x.

The graph of the function y_2=x-3 is the graph of the function y_1=x translated down 3 units.

Step-by-step explanation:

<u>Given: </u>

Function y_1=x

Function y_2=x-3

<u>Find: </u>How are the functions related? How are their graphs related?

Substitute x=y_1 into the second function:

y_2=y_1-3

This means that each output for the second function y_2=x-3 is 3 less than the corresponding output for the first function y_1=x.

The graph of the function y_2=x-3 is the graph of the function y_1=x translated down 3 units.

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