Question

How are the functions y = x and y = x – 3 related? How are their graphs related?


Each output for y = x – 3 is 3 more than the corresponding output for y = x.
The graph of y = x – 3 is the graph of y = x translated down 3 units.

Each output for y = x – 3 is 3 more than the corresponding output for y = x.
The graph of y = x – 3 is the graph of y = x translated up 3 units.

Each output for y = x – 3 is 3 less than the corresponding output for y = x.
The graph of y = x – 3 is the graph of y = x translated down 3 units.

Each output for y = x – 3 is 3 less than the corresponding output for y = x.
The graph of y = x - 3 is the graph of y = x translated up 3 units.