Question

Consider the function f (x) = x2.

What effect does subtracting 2 from the input have on the graph of the function?​

Answer 1

The answer is right graph shifted 2 units to the right

Answer 2

Answer: The graph is shifted 2 units to the right.

Explanation:

Given a function f(x), we know that one transformation rule is:

If
`f(x-k)` then the function is shifted "k" units to the right.

Therefore, for the function
`f(x)=x^(2)`, when we subtract 2 from the input, then we get the function g(x) in the form:

`g(x)=(x-2)^(2)`

We can conclude that subtracting 2 from the input of the function
`f(x)=x^(2)`, then the graph is shifted 2 units to the right.