Answer:
The maximum value is 3.
Step-by-step explanation:
The given trigonometric function is
[tex]y=-2+5\sin(\frac{\pi}{12}(x-2))[/tex]
The amplitude of this function is 5.
[tex]|A|=5[/tex]
[tex]-5\le A\le5[/tex]
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
