Question

Sketch the graph of each function

Answer 1

The graph is a sin wave shown in the attached image

Answer 2

See diagram

Explanation:

Start with parent function
`y=sinx.` The period of parent function is
`2\pi.`

Consider function
`y=1-\sin2(x+1).` The period of this function is
`(2\pi)/(2)=\pi.`

This gives you that the graph of the function
`y=1-\sin2(x+1)` is twice compressed, reflected across the x-axis and translated 1 unit to the left and 1 unit up graph of the parent function.