Question

Which of the following are equivalent to the function y = -3sin x + 2? Check all that apply.

Answer 1

(A) and (D)

Explanation:

The given function is :

`y = -3sin x + 2`

Now, A.
`y=3sin(-x)+2`

⇒
`y=-3sinx+2`(because -sinx=sin(-x))

which matches with the given function, thus A is the correct option.

B.
`y=-3sinx-2`

which does not matches with the given function, thus B is not the correct option.

C.
`y=3cos(x+(\pi)/(2))-2`

On solving, we get

`y=-3sinx-2`

which does not matches with the given function, thus C is not the correct option.

D.
`y=-3cos(x-(\pi)/(2))+2`

On solving, we get

`y=-3sinx+2`

which matches with the given function, thus D is the correct option.

Answer 2

For the given question above, the best answers would be option A which is y = 3sin(-x) + 2 and option D which is y = -3cos(x- pi/2) + 2. I hope this answer helps. Have a great day!