The function has a phase shift of pi/2 to the right is y = 2sin(2x - pi ).
What is the trigonometric function?
The basics of define three primary functions which are sine, cosine, and tangent.
The function has a phase shift of pi/2 to the right.
By definition, you have the phase shift is:
[tex]\rm asin(bx+c)\\\\ Phase \ shift=\dfrac{-c}{b}[/tex]
When you substitute the values from the function [tex]\rm y=2sin(2x-\pi)[/tex], where [tex]\rm c=-\pi[/tex] and [tex]\rm b=2[/tex] , you obtain:
[tex]\rm Phase \ shift=\dfrac{-(-\pi)}{2}\\\\ Phase \ shift=\dfrac{\pi }{2}[/tex]
Hence, The function has a phase shift of pi/2 to the right is y = 2sin(2x - pi ).
Learn more about the trigonometry function here;
https://brainly.com/question/10596359
#SPJ2
