The correct answer is:
The graph of f(x - 1) is a horizontal shift of f(x) = x^2 one unit to the right.
We are given a parent function f(x) as:
[tex]f(x)=x^2[/tex]
Now we have to find what is the behavior of the graph of the transformed function:
[tex]g(x)=f(x-1)[/tex]
Now we know that the transformation of the type:
[tex]f(x+a)[/tex] with respect to the parent function f(x) is a shift either to the right or to the left i.e. a horizontal shift depending upon the sign of the constant 'a'.
If a>0 then the shift is to the left by 'a' units.
and if a<0 then the shift of he function is to the right by 'a' units.
Hence, here f(x-1) is a shift of the function f(x) to the right by '1' unit.
