Question

Identify the vertical shift, maximum and minimum values of each function

Answer 1

Vertical shift: 6 units up

Maximum value: 9

Minimum value: 3

Step-by-step explanation

The given since function is

`y = 3(2 - \sin(x))`

Expand and rewrite to obtain,

`y = 6 - 3 \sin(x)`

Or

`y =- 3 \sin(x) + 6`

The vertical shift is 6 units up.

The maximum value is 6+3=9.

The minimum value is -3+6=3