Question

so if i have suppose y=x as f(x) and y=x-2 as f(x-2) than in the second case( y=f(x-2) ) which is the domain x or x-2? and how you get y=f(x-2) from y=f(x)=x..

Answer 1

Since it is a linear function, hence the -2 from x is -2 from y also. The domain of a common linear function is \(\mathbb R\),
How to get y = f(x-2) from f(x)=x??
just draw y =x, then take down 2 units.

Answer 2

i know that we can consider it as change in function but i;m interested in change in argument .. so we have y=f(x) and want to get y=f(x-2) why it will be rigth to 2 unit? @Loser66

Answer 3

same

Answer 4

since it is a linear function, move to the right same as move down
if it is not, like \( y = x^2\), then \(y = x^2 -2 \) is different from \(y = (x-2)^2\)

Answer 5

i understand but have you prove that it will go right to 2 unit( by argument change not function change) @Loser66

Answer 6

You meant prove y = x-2 is y =x moves 2 units to the right?
ok
make T table for both.