what is the equation of the midline of the sinusoidal function? enter your answer in the box. y = □
what is the equation of the midline of the sinusoidal function? enter your answer in the box. y = □
Answer
Explanation:
Step1: Identify maximum and minimum
The maximum value of the sinusoidal - function from the graph is (y = 2) and the minimum value is (y=-6).
Step2: Use mid - line formula
The formula for the mid - line of a sinusoidal function is (y=\frac{y_{max}+y_{min}}{2}). Substitute (y_{max} = 2) and (y_{min}=-6) into the formula: (y=\frac{2+( - 6)}{2}).
Step3: Calculate the value
First, simplify the numerator: (2+( - 6)=2 - 6=-4). Then, (\frac{-4}{2}=-2).
Answer:
(y = - 2)