Question

How are the functions y = x and y = x – 3 related? How are their graphs related?
Can someone explain this to me

Answer 1

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.

Answer 2

y = x and y = x – 3 are these related do to same slope

Answer 3

They do have the same slope just different y's the first one passes at (0,0)and the second at (0,-3)

Answer 4

that would be -x+3 wouldn't it

Answer 5

@RavenLynette what your saying is that c is the right answer
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. "y's the first one passes at (0,0)and the second at (0,-3)" Right?

Answer 6

Right :)