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.