SOLUTION: Write the transformations that are indicated in y = 3 cotθ + 2 from the original trigonometric curve

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Question 1189273: Write the transformations that are indicated in y = 3 cotθ + 2 from the original trigonometric curve
Found 2 solutions by MathLover1, ikleyn:
Answer by MathLover1(20850) About Me  (Show Source):
You can put this solution on YOUR website!
y+=+3cot%28theta%29+%2B2
compare to: y+=+A+cot%28Bx+-+C%29+%2B+D

A=3->Amplitude 3
B=1 ->Period : pi%2F+abs%28B%29+=+pi....recall: The sine, cosine, cosecant, and secant all normally have a period of (2pi). The tangent and cotangent have a period of pi.
C=+0 ->Phase Shift: C%2FB+=+0%2Fpi=0
D=+2->Vertical Shift: 2
MSP39021254d22e9bd6gg8a00006548f5950eaea342




Answer by ikleyn(52906) About Me  (Show Source):
You can put this solution on YOUR website!
.


            Since @MathLover1 does not respond the posed question,  I will do it instead of her. 


First transformation is stretching y-axis with the coefficient 3

    y' = 3y.


Second transformation is vertical shift two units up

    y'' = y' + 2.


Absciss coordinate remains unchanged.

Solved.