Respuesta :
Vertical shift because the there is no vertical shift in this equation.
The transformation that is not performed is (a) vertical shift.
What is transformation?
Transformations the geometric transformation is a bijection of a set that has a geometric structure by itself or another set.
Transformation involves changing the form of the function.
The function is given as:
[tex]\rm y=cotx[/tex]
From the complete question, the transformed function is:
[tex]\rm y=3cot[\dfrac{1}{5}(x+2)].[/tex]
On y = cot(x); start by translating the function 2 units left.
The rules of this transformation is:
[tex]\rm (x, y)=(x+2, y)\\\\[/tex]
So, we have:
[tex]\rm y=cot(x+2)[/tex]
Next, stretch the function horizontally by a factor of 1/5
The rule of this transformation is:
[tex]\rm (x, y)=(\dfrac{1}{5}x, y)[/tex]
So, we have:
[tex]\rm y=cot[\dfrac{1}{5}(x+2)].[/tex]
Lastly, stretch the function vertically by a factor of 3,
The rule of this transformation is:
[tex]\rm (x, y)=(x, 3y)[/tex]
Hence, the transformation that is not performed is (a) vertical shift.
Read more about transformations at:
brainly.com/question/13801312
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