Question 1196052
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https://webwork.math.umn.edu/webwork2_files/tmp/umtymp-calculus1-f22//gif/a3934625-e78b-3a87-8152-a122c5b59117___a882495f-86b7-3beb-af6b-bbdfd3bcda19.png
This is a graph of a tan or cot function, can you please help to find the equation to the graph.
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<pre>
Under the link, I see a plot of cotangent function, with the period of 4 units, 
shifted 1 unit horizontally left and without vertical shift.


Its equation is

    y = f(x) = {{{cotan((pi/4)*(x+1)))}}}.


Factor (x+1) in the argument makes the necessary horizontal shift of 1 unit left.


Factor  {{{pi/4}}} makes the necessary period.
</pre>

Solved and explained.


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In the Internet, there is free of charge online plotting tool 


https://www.desmos.com/calculator


where you can check your own different formulas and see, which of them is/(produces) a correct plot / solution.



In particular, by plotting there the graph of my function, you can convince yourself that my answer is correct.