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Given the function

f(x)=cot(x+π/6)

which direction is the shift compared to the parent function?

 Mar 22, 2020
 #1
avatar+23710 
+2

the PLUS  pi/6  will shift the parent function to the LEFT   

 Mar 22, 2020
 #3
avatar
+1

what is the location of the first positive 0?

Guest Mar 23, 2020
 #5
avatar+23710 
+1

See below:

ElectricPavlov  Mar 23, 2020
 #2
avatar+1970 
+2

Hint:

 

Phase Shift: −π/6 (π/6 to the left)

Vertical Shift: 0

 

Here is an image of the graph: https://www.mathway.com/images/placeholder.gif

 

THANKS MATHWAY!

 Mar 22, 2020
 #4
avatar+23710 
+2

That would be where the numerator is first zero....where cos = zero    (because cot = cos/sin )

                                                                                                                   but shifted  :     pi/2 - pi/6 = pi/3

 Mar 23, 2020

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