Question

What is the maximum value of `y=-3sinx+2`?

Answer 1

`5`

Explanation:

For: `y=-3sinx+2`

Since `sinx` is multiplied by a negative value, we want `sinx` to be a minimum value.

`0<=x<=2pi`

`-1<= sinx<=1`

Maximum value:

If `x= (3pi)/2`. then `sinx= -1` and `-3sinx+2=5`

Graph:

graph{-3sinx+2 [-12.66, 12.65, -6.33, 6.33]}