Question

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

Answer 1

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:

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.