# Thread: Graph of f(x-n)

1. ## Graph of f(x-n)

This is kinda idiotic question:

Why is graph of function let's say $f(x-2)$ shifted to the right by 2, not to the left by 2?

Because we subtract, so we should go to the left. I would like to see a mathematical proof. Thanks.

2. ## Re: Graph of f(x-n)

Originally Posted by Nforce
This is kinda idiotic question:

Why is graph of function let's say $f(x-2)$ shifted to the right by 2, not to the left by 2?

Because we subtract, so we should go to the left. I would like to see a mathematical proof. Thanks.
horizontal transformations

3. ## Re: Graph of f(x-n)

When x= 3, f(x- 2)= f(3- 2)= f(1). The value f(1) has been moved from x= 1 to x= 3, two places to the right.

4. ## Re: Graph of f(x-n)

When we make the equation set to zero, i.e x-2=0, we notice that bringing the two over to the right side is equal to positive 2, hence why it is "transformed" to the right.