Question

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!

Answer 1

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.

Explanation:

Given:

Function
`y_1=x`

Function
`y_2=x-3`

Find: 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.