Question

For the function y = -2 + 5 sin (pi/12(x-2)), what is the minimum value?

Answer 1

The maximum value is 3.

Explanation:

The given trigonometric function is

`y=-2+5\sin((\pi)/(12)(x-2))`

The amplitude of this function is 5.

`|A|=5`

`-5\le A\le5`

The function is shifted vertically down by two units.

To find the maximum value, we add -2 to the upper boundary of A.

The maximum values is 5-2=3