Question 1103573: Which of the following graph described the function:
y = -3cot(π-3x)+1
https://www.dropbox.com/s/zbu7h5bdtedpzq7/Screen%20Shot%202017-12-02%20at%2011.06.53%20PM.png?dl=0
Answer by greenestamps(13203)   (Show Source):
You can put this solution on YOUR website!
With the "+1" at the end of the function, the value in the middle of each period has to be +1; that means the correct graph is either A or C.
But the period is pi/3. The beginnings of the periods for graphs A and C differ by pi, which is an integer multiple of the period, pi/3.
That means BOTH of the graphs A and C are correct; they just show the graph in different periods.
Addendum -- for the reader who replied that they can't both be right....
In fact graphs A and C ARE both correct for the given function; if only one graph is to be the correct answer for the problem, then the problem is flawed.
Graph A shows the three points (5pi/12,4), (pi/2,1), and (7pi/12,-2).
Graph C shows the three points (-7pi/12,4), (-pi/2,1), and (-5pi/12,-2).
All 6 of those points are points on the graph of the given function.
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