Question

Graph the function. Which choice gives the aptitude,Phase shift, and vertical shift for the function

Answer 1

The given function is:

`y=4\sin\lparen3\theta-(1)/(3)\pi)+1`

Therefore, the parent function is:

`y=\sin(\theta)`

The graph of the given function is:

Therefore, the period is given by:

`(2\pi)/(3)`

The amplitude is given by:

`|4|=4`

`y=4\sin\lparen3(\theta-(1)/(9)\pi))+1`

The phase shift is:

`(1)/(9)\pi=(\pi)/(9)`

The vertical shift is 1

The correct answer is:

4; 2π/3; π/9; 1

Therefore, the correct answer is the second choice.