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
[tex]f(x)=x^2[/tex]
The given function is
[tex]g(x)=(x-1)^2[/tex]
So, the given function can be written in the form of basic form as
[tex]g(x)=f(x-1)[/tex] ...(1)
The translation is defined as
[tex]g(x)=f(x+a)2+b[/tex] .... (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
[tex]a=-1,b=0[/tex]
Therefore, graph of f(x) shift 1 unit to the right to get graph of g(x).
