Answer:
Each output for the second function [tex]y_2=x-3[/tex] is 3 less than the corresponding output for the first function [tex]y_1=x.[/tex]
The graph of the function [tex]y_2=x-3[/tex] is the graph of the function [tex]y_1=x[/tex] translated down 3 units.
Step-by-step explanation:
Given:
Function [tex]y_1=x[/tex]
Function [tex]y_2=x-3[/tex]
Find: How are the functions related? How are their graphs related?
Substitute [tex]x=y_1[/tex] into the second function:
[tex]y_2=y_1-3[/tex]
This means that each output for the second function [tex]y_2=x-3[/tex] is 3 less than the corresponding output for the first function [tex]y_1=x.[/tex]
The graph of the function [tex]y_2=x-3[/tex] is the graph of the function [tex]y_1=x[/tex] translated down 3 units.