The function that is graphed is y= cot(3/4(x- π/6)) i.e. optionA.
What is a function?
A function is a rule that relates two variables.
The parent function is:
[tex]y=cotx[/tex]
Suppose the function shown in the diagram is:
[tex]y=cota(x+k)[/tex].....(1)
The y becomes zero at [tex](\frac{5\pi }{6} ,0)[/tex] and [tex](-\frac{\pi }{2} ,0)[/tex]
So satisfying these points in (1)
[tex]0=cota(\frac{\pi }{6} +k)\\[/tex]
[tex]\frac{\pi }{2} =a(\frac{5\pi }{6} +k)[/tex]......(2)
[tex]0=cota(\frac{-\pi }{2} +k)[/tex]
[tex]\frac{-\pi }{2}=a(\frac{-\pi }{2} +k)[/tex]......(3)
By dividing (2) and (3) we get
k=-π/6
put k in (1) we get
a=3/4
So the required function will be
y= cot(3/4(x- π/6))
Hence, the function that is graphed is y= cot(3/4(x- π/6)) i.e. optionA.
To get more about graphs visit:
https://brainly.com/question/14323743
