The answer that describes the transformation f(x) tog(x) is:
a horizontal translation 1 unit to the right
We are given a parent function f(x) as:
[tex]f(x)=x^2-1[/tex]
and the transformed function g(x) is given by:
[tex]g(x)=(x-1)^2-1[/tex]
We know that if f(x) is transformed by the rule f(x+a) then the transformation is either a shift ''a'' units to the left or to the right depending on a is positive or negative respectively.
Here we have: a= -1
This means that the shift is to the right by 1 units.
In other words we may say that the transformation is a horizontal translation 1 units to the right.
