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

Question

asked May 4, 2023 25.2k views

1 Answer

Alexza · Answer 1 · 2023-05-08T02:58:51+0000

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:

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

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.