Hagrid
Answered

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

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

Verified Answer :

MissPhiladelphia

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!

boffeemadrid

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.

Related Questions