Question

How does the graph of f(x) = (x - 1)2 relate to the basic function f(x) = x??

Answer 1

Answer:

Shift 1 unit to the right, i.,e. option (c).

Step-by-step explanation:

Note: Both functions can not be represented by f(x) and square is missing in basic function.

The given basic function is

$f(x)=x^2$

The given function is  

$g(x)=(x-1)^2$

So, the given function can be written in the form of basic form as

$g(x)=f(x-1)$     ...(1)

The translation is defined as

$g(x)=f(x+a)2+b$     .... (2)

If a>0, then the graph shifts a units left and if a<0, then the graph shifts a units right.

If b>0, then the graph shifts b units up and if b<0, then the graph shifts b units down.

On comparing (1) and (2), we get

$a=-1,b=0$

Therefore, graph of f(x) shift 1 unit to the right to get graph of g(x).