Answer:
[tex]y = \sin(x) + 11[/tex]
Step-by-step explanation:
The sine or cosine function and their reciprocals has a period of 2π.
The maximum should be 12 and midline equal y=11.
This means the must have an amplitude of
a=12-11=1
If the y-intercept is (0,11) the y-intercept was translated up 11 units from the origin so it should be a sine graph.
The function is of the form:
[tex]y = a \sin(x) + b[/tex]
where a=1 and b=11
The function is
[tex]y = \sin(x) + 11[/tex]
