Match each function with its graph in choices A–I. (One choice will not be used.)
y = sin (x - π/4)


A. <IMAGE> B. <IMAGE> C. <IMAGE>


D. <IMAGE> E. <IMAGE> F. <IMAGE>


G. <IMAGE> H. <IMAGE> I. <IMAGE>

Verified step by step guidance

1. Identify the basic shape and properties of the sine function, which has a periodic wave-like form oscillating between -1 and 1.
2. Understand the effect of the phase shift in the function y = sin(x - \frac{\pi}{4}). This represents a horizontal shift to the right by \frac{\pi}{4} units.
3. Look for a graph among the choices that shows a sine wave starting at a phase shift of -\frac{\pi}{4} on the x-axis. This means the wave, which usually starts at 0, should start at -\frac{\pi}{4}.
4. Check the amplitude and period of the sine function in the graph. The amplitude should be 1 (distance from the center line to the peak), and the period should be 2\pi, as there are no changes to these in the given function.
5. Eliminate any graph that does not start at -\frac{\pi}{4} or does not maintain the standard sine wave properties of amplitude 1 and period 2\pi.