Question 1132220
<br>
You aren't saying exactly what you mean; but it is clear what you mean.<br>
In general, if you have a parent function y = f(x), then the graph of y = f(x-h) is shifted h units to the right, because h is the value of x that makes x-h = 0.<br>
With trig functions, to find the phase shift, you need to find how far the graph is shifted right or left.<br>
Given a trig function like<br>
{{{sin(3x-pi)}}}<br>
the phase shift is the value of x that makes (3x-pi) = 0:<br>
{{{3x-pi = 0}}}  -->  {{{3x = pi}}}  -->  {{{x = pi/3}}}<br>
The phase shift is pi/3.<br>
In practice, we usually find that phase shift by factoring out the coefficient of x in the function definition:<br>
{{{sin(3x-pi)}}}  -->  {{{sin(3(x-pi/3))}}}<br>
This shows that the phase shift is pi/3.  That is, the graph is shifted pi/3 units to the right, in exactly the same way that {{{y = (x-2)^2}}} is the graph of {{{y = x^2}}} shifted 2 units to the right.