Question 554415
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In this problem, the coefficient at  x  is  1  --->  hence,  b = 1.


In this problem,   {{{pi/2}}}   is the shift.


The sign  ' - '  at    {{{pi/2}}}    tells us that we need to shift the base plot   {{{pi/2}}}   units to the right.



Usually,  students get very formal sophisticated explanations from teachers and from textbooks 
to this subject, so they do not understand it and are intimidated.


One simple explanation  " on the fingers "  is worth  10  sophisticated formal explanations.
(And even  10  sophisticated explanations will not help).

 
If you want to learn the subject,  start from the case  b = 1   and solve  5  (five)  sample problems at this level.


When you get confidence,  you may go to the next level.