Sketch the graph of each function

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=1-\sin2(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=1-\sin2(x+1)[/tex] is twice compressed, reflected across the x-axis and translated 1 unit to the left and 1 unit up graph of the parent function.