The graph of has a horizontal shift of units to the left. We can find the value and direction of the shift by solving the equation .

The graph of y=sinx is in blue. The graph of is in red

 

The phase shift of the graph of y = sin(x - 7) can be found in the same way to be 7 units to the right. Again, the graph of y=sinx is blue and y = sin(x - 7) is red.

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