Question

Choose the function whose graph is given by:

Answer 1

y=3sin(x+3)-2

Explanation:

A P E X

Answer 2

The function
`y = 3\sin (x + 3) - 2` is the correct option here.

Explanation:

See the graph attached.

We have to choose the function from the options which shows the graph given.

The maximum value of the graphed function is 1 and the minimum value is - 5.

Now, the function
`y = 3\sin (x + 3) - 2` is the correct option here.

We know that for any value of
`\theta`,
`\sin \theta` has maximum value of 1 and minimum value is - 1.

Therefore,
`y_(max) = 3(1) - 2 = 1`

and
`y_(min) = 3(- 1) - 2 = - 5`

No other options have the minimum value of - 5 and maximum value of 1.