The required equation is y = 4 sin(ωx + ∅) - 3.
Function
The function is an expression, rule, or law that defines the relationship between one variable to another variable. Functions are ubiquitous in mathematics and are essential for formulating physical relationships.
Sinusoidal Function
It is a function that repeats itself in a particular time interval.
What is the equation of the midline of the sinusoidal function?
We know that the sinusoidal function is given by,
y = A sin(ωx + ∅) + c
where,
A = amplitude
ω = argument
∅ = phase difference
Then amplitude will be half of the difference of the maximum to minimum.
[tex]\rm A = \dfrac{Maximum\ value\ -\ Minimum\ value}{2}\\\\A = \dfrac{1-(-7)}{2}\\\\A = \dfrac{8}{2}\\\\A = 4[/tex]
The vertical distance between the midline will be
c = -3
Then equation becomes
y = 4 sin(ωx + ∅) - 3
Thus, the required equation is y = 4 sin(ωx + ∅) - 3.
More about the function link is given below.
https://brainly.com/question/5245372
