we have the function
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Verify each statement
Option A
Find out the period
The period is
Period=2pi/B
The Period goes from one peak to the next
B=2
Period=2pi/2
Period=pi
so
Statement A is not true
Option B
Find out the amplitude
Looking at the equation
Amplitude=1/2
so
Statement B is not true
Option C
Find out the midline
midline=(-1.5-0.5)/2=-1
Statement C is true
Option D
The domain of the function is the interval (-infinite, infinite) (all real numbers)
Statement D is not true
therefore
The answer is option C