Question

If f(x) = x2, which of the following describes the graph of f(x - 1)?

Answer 1

The graph of f(x - 1) is a horizontal shift of f(x) = x^2 one unit to the right.

Answer 2

Answer:

The correct answer is:

The graph of f(x - 1) is a horizontal shift of f(x) = x^2 one unit to the right.

Step-by-step explanation:

We are given a parent function f(x) as:

$f(x)=x^2$

Now we have to find what is the behavior of the graph of the transformed function:

$g(x)=f(x-1)$

Now we know that the transformation of the type:

$f(x+a)$ 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.