Answer: Hello!
we have the function f(x) = IxI, and we want to write the formula if the function where we have the graph of f(x) translated left by 4 units.
Let's think it:
the graph of f(x) is like a V, where the vertix is at x = 0, then a translation to the left by 4 units mean that now the vertix is at x = -4, then in the new function, we have g( x = -4) = f(0)
This means that now we have
y = g(x) = f( x + 4) = Ix+4I
Always when you want a translation left by N units for the graph of f(x), you need to do:
y = g(x) = f( x +N)
and if the translation is to the right:
y = h(x) = f(x - N)
