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.

Labels: Functions, Trigonometry