Question

Which of the following could be the equation of the function below?

Answer 1

I believe the answer is A. y=-3sin(2(x+pi))+2

Step-by-step explanation:

Answer 2

Answer: The correct option is 1.

Step-by-step explanation:

The from the given graph it is noticed that the function must be in he form of,

`y=asin(bx+c)+d`

Where, a is amplitude, b is period, c is horizontal shift and d is vertical shift.

From the given figure it is noticed that the graph has period of
`\pi`, it means the value of b is 2. The value of amplitude must be negative, because the graph of sine is reflected along the y axis.

The option 2 has period of
`2\pi`, therefore it is not the correct option. The option 4 has period of
`(\pi)/(2)`, therefore it is not the correct option.

The option 4 has positive amplitude, therefore it is not the correct option.

Thus, the correct option is 1 and the function of the graph is
`y=-3\sin (2(x+\pi))+2`.