Question

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

Answer 1

ANSWER

Vertical shift: 6 units up

Maximum value: 9

Minimum value: 3

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