Sketch the graph of each function
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Answer:
See diagram
Step-by-step explanation:
Start with parent function [tex]y=sinx.[/tex] The period of parent function is [tex]2\pi.[/tex]
Consider function [tex]y=\sin(2x-2).[/tex] You can rewrite it as [tex]y=\sin 2(x-1).[/tex] The period of this function is [tex]\dfrac{2\pi}{2}=\pi.[/tex]
This gives you that the graph of the function [tex]y=\sin(2x-2)[/tex] is twice compressed and translated 1 unit to the right graph of the parent function.
The graph is a sinusoidal wave
See the attached image