Question

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

Answer 1

Answer:

(A) and (D)

Step-by-step 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. $y=3cos(x+\frac{\pi}{2})-2$

On solving, we get

$y=-3sinx-2$

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

D. $y=-3cos(x-\frac{\pi}{2})+2$

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!