Question

Sketch the graph of each function

Answer 1

The graph is a sinusoidal wave

Explanation:

See 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=\sin(2x-2).` You can rewrite it as
`y=\sin 2(x-1).` The period of this function is
`(2\pi)/(2)=\pi.`

This gives you that the graph of the function
`y=\sin(2x-2)` is twice compressed and translated 1 unit to the right graph of the parent function.