Answers LAUSD-Algebra II B Prescriptive - SummerRadian Measure

Modeling with Periodic Functions Answers

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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

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What function is graphed below?

y equal to cotangent (x) minus 2

y equal to tangent (x) minus 2

y equal to cotangent (x) plus 2

y equal to tangent (x) plus 2

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.

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)

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

Suppose the graph of the parent function is vertically compressed to produce the graph of the function , but there are no reflections. Which describes the value of a?

a is less than minus 1

a is greater than minus 1 but less than 0

a is greater than 0 but less than 1

a is greater than 1

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 ))

Where does the graph of the function have asymptotes?

at the values of x where

at the values of x where is undefined

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?

He graphed the function incorrectly because he didn’t translate the graph of the parent function 1 unit up.

He graphed the function incorrectly because the period of the transformed function is not units.

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

What function is graphed below?

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

y equal to tangent (x minus StartFraction pi over 4 EndFraction)

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

y equal to tangent (x plus StartFraction pi over 4 EndFraction)

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Modeling with Periodic Functions Answers

0 verified answers

Free Preview

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

Free Preview

What function is graphed below?

y equal to cotangent (x) minus 2

y equal to tangent (x) minus 2

y equal to cotangent (x) plus 2

y equal to tangent (x) plus 2

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.

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)

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

Suppose the graph of the parent function is vertically compressed to produce the graph of the function , but there are no reflections. Which describes the value of a?

a is less than minus 1

a is greater than minus 1 but less than 0

a is greater than 0 but less than 1

a is greater than 1

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 ))

Where does the graph of the function have asymptotes?

at the values of x where

at the values of x where is undefined

He graphed the function incorrectly because he didn’t translate the graph of the parent function 1 unit up.

He graphed the function incorrectly because the period of the transformed function is not units.

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

What function is graphed below?

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

y equal to tangent (x minus StartFraction pi over 4 EndFraction)

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

y equal to tangent (x plus StartFraction pi over 4 EndFraction)

Did you find these answers helpful?

Modeling with Periodic Functions Answers

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Modeling with Periodic Functions Answers

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