Graphing Tangent and Cotangent

Question 1

What transformations were applied to the graph of the parent function to produce the function graphed below?

Revolt · Accepted Answer

a horizontal stretch to produce a period of and a horizontal translation of units to the right

Question 2

Chris wanted to transform the graph of the parent function by horizontally compressing it so that it has a period of units, horizontally translating it units to the right, and vertically translating it 1 unit up. To do so, he graphed the function , as shown. What did he do wrong?

Revolt · Accepted Answer

He graphed the function correctly, but it was not the right function to graph. He should have graphed .

Question 3

What is the period of the function ?

Revolt · Accepted Answer

4 units

Question 4

What function is graphed below?

Revolt · Accepted Answer

y equal to tangent (x) plus 2

Question 5

What is the range of the function ?

Revolt · Accepted Answer

all real numbers

Question 6

Eve’s teacher asked her to graph the function by reflecting the graph of the function about the x-axis and translating it vertically. Does it matter in which order Eve does the transformations?

Revolt · Accepted Answer

Yes, it matters. The graph of the function should be reflected about the x-axis before it is translated 1 unit down.

Question 7

Which is an asymptote of the graph of the function ?

Revolt · Accepted Answer

x equal to minus StartFraction 2 pi over 3 EndFraction

Question 8

Which function is equivalent to ?

Revolt · Accepted Answer

y equal to tangent ( x plusStartFraction pi over2 EndFraction)

Question 9

Which is an asymptote of the graph of the function ?

Revolt · Accepted Answer

mc020-3.jpg

Question 10

What function is graphed below?

Revolt · Accepted Answer

y equal to cotangent (StartFraction 3 over 4 EndFraction (x minus StartFraction pi over 6 EndFraction ))

Graphing Tangent and Cotangent Answers

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