Consider an LTI (linear time-invariant) system whose impulse response h[n] and input signal x[n] are given as:

h[n] = u[n-2]

x[n] = (1/2)^n u[n-4]

Find the output y[n] of the system for all values of n. Show every step of your work, making sure to label the axes, as well as any important points/values in your graphs.