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The Right Place For Online Math Help |

The phase shift is the horizontal shift away from the standard graph of the trigonometric function.

In y = AsinB(x - C) + D,C is the phase shift.
For cosine function y = AcosB(x - C) + D and tangent function y = AtanB(x - C) + D also C is the phase shift.

If the phase shift is positive, there has been a horizontal shift to the right and if it is negative, there has been a horizontal shift to the left.

In reading off the phase shift, make sure you have the function in the form above.

For example, the phase shift of y = sin(2x - π /2) is not π/2. Rewrite the expression for the function in the required form to get
y = sin2(x - π/4).
Now we see the correct phase shift, is π/4.

In the graph we can see graph of sin(2x - π /2) is shifted to π/4 units to the right.


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