Answer:
We could start with the simpler function f(x) = IxI and construct the other function using transformations.
First, an horizontal translation of A units to the right is written as:
g(x) = f(x - A)
And an vertical translation of A units up, is written as:
g(x) = f(x) + A.
Where A is positive and this works for any function f(x).
Then in this case, if we start with:
f(x) = IxI and:
g(x) = Ix - 2I -3
Then:
First we do an horizontal translation of 2 units to the right.
g(x) = f(x - 2) = Ix - 2I
Then we do a vertical translation of -3 units up (or a translation of 3 units down)
g(x) = f(x - 2) - 3 = Ix - 2I - 3
Those two transformations are the ones that relate the graphs of g(x) and f(x)
