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How are the functions y=x and y=x-3 related? How are their graphs related? (7 pa
Each output for v=x-3 is 3 more than the corresponding output for i=x.
The graph of y=x- is the graph of u = translated down 3 units.
Each output for i=x- is 3 more than the corresponding output for i =
The graph of y=x-3 is the graph of y = r translated up 3 units.
Each output for i =x-318 3 less than the corresponding output for =x.
The graph of y=x-3 is the graph of y = r translated down units.
Each output for y=x-3 is 3 less than the corresponding output for 1 =x.
The graph of y=X - is the graph of r = r translated up 3 units!

Respuesta :

frika

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.