Question

If a function, f(x) is shifted to the left four units, what will the transformed function look like? use an example.

Answer 1

If you shift a function to the left 4 units, the only thing you are doing to it is moving it.  You are not changing its shape or its orientation.  A simple example is the parabola y = x^2.  The vertex is at the origin.  When you shift it 4 units to the right, the new equation is y = (x+4)^2 which shows we have moved the parabola 4 units to the left.  Nothing else changes about it.