We are given the following parent function f(x)
[tex]f(x)=x^2[/tex]
The transformed function g(x) is
[tex]g(x)=(x+1)^2[/tex]
Notice that the change is done in the horizontal direction.
Recall that the transformation rule for the horizontal translation to the left is given by
[tex]f(x)\rightarrow f(x+c)[/tex]
Where c is the number of units by which the graph is shifted to the left.
So, we should expect that the graph is horizontally shifted to the left by 1 unit.
Therefore, the above is graph represents the transformed function g(x) which is horizontally shifted to the left by 1 unit.
