Answers LAUSD-Algebra II B Prescriptive - SummerGraphing Tangent and Cotangent

Graphing Tangent and Cotangent Answers

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Which function is equivalent to ?

y equal to minus tangent (x)

y equal to minus tangent ( x plusStartFraction pi over2 EndFraction)

y equal to tangent (x)

y equal to tangent ( x plusStartFraction pi over2 EndFraction)

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The graph of the function was horizontally stretched so that its period became . Which is the equation of the transformed function?

y equal to tangent (StartFraction x over 10 EndFraction)

y equal to tangent (StartFraction x over 5 EndFraction)

y equal to tangent (5x)

y equal to tangent (10x)

Where does the graph of the function have asymptotes?

at the values of x where

at the values of x where is undefined

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

a horizontal compression to produce a period of and a horizontal translation of units to the left

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

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

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

What function is graphed below?

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

y equal to cotangent (StartFraction 3 over 2 EndFraction (x minus StartFraction pi over 6 EndFraction ))

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

y equal to cotangent (StartFraction 3 over 2 EndFraction (x plus StartFraction pi over 6 EndFraction ))

Which is an asymptote of the graph of the function ?

mc020-2.jpg

mc020-3.jpg

mc020-4.jpg

mc020-5.jpg

What is the range of the function ?

all real numbers

all real numbers except , where n is any integer

Which is an asymptote of the graph of the function ?

x equal to minus StartFraction 4pi over 3 EndFraction

x equal to minus StartFraction 2 pi over 3 EndFraction

x equal to StartFraction 3 pi over 4 EndFraction

x equal to StartFraction 3pi over 2 EndFraction

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?

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

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

No, it doesn’t matter. Reflecting the graph of the function about the x-axis and translating the graph 1 unit down in either order will produce the correct graph.

No, it doesn’t matter. Reflecting the graph of the function about the x-axis and translating the graph 1 unit up in either order will produce the correct graph.

What is the period of the function ?

3 units

4 units

6 units

8 units

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Graphing Tangent and Cotangent Answers

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