Answers LAUSD-Algebra II B Prescriptive - SummerChanges in Period and Phase Shift of Sine and Cosine Functions

Changes in Period and Phase Shift of Sine and Cosine Functions Answers

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Answers:

Selection 1:1/1,080

Selection 2:1/3

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What is the period of the parent cosine function, y = cos(x)? degrees

Answer:

360

Which type of transformation of the parent function is shown by the graph?

vertical stretch

vertical compression

vertical shift

horizontal stretch

horizontal compression

horizontal shift

Determine the following for the transformed cosine function shown whose period is 1,080 degrees.Frequency: b in the equation:

Answers:

Selection 1:1/1,080

Selection 2:1/3

The period of a function is .How many cycles of the function occur in a horizontal length of ?

Answer:

Which of the following have a frequency factor of b = 1?

a sine function whose period is 2 pi radians

a sine function whose x-coefficient is 2 pi

a cosine function with no phase shift whose x-coefficient is 1

a sine function whose graph shows 2 cycles from negative 4 pi radians to 0

a sine function whose graph shows 2 cycles from 0 to 2 pi radians

a cosine function whose graph shows 4 cycles from 0 to 4 pi radians

a cosine function whose graph shows 1 cycle from 3 pi radians to 5 pi radians

From the parent function y = sin(x), the function shown in the graph is shifted

units to the right.

Consider the function Which of the following is true?

There is a phase shift to the left.

There is a phase shift to the right.

The graph is reflected across the x-axis

The graph is stretched horizontally.

The graph is compressed horizontally.

What is the period of the parent cosine function, y = cos(x)? degrees What is the period of the cosine function shown in the graph? degrees

Answers:

Part 1:360

Part 2:1080

Determine the following for the transformed cosine function shown whose period is 1,080 degrees.Frequency: b in the equation:

Answers:

Selection 1:1/1,080

Selection 2:1/3

The period of a function is .How many cycles of the function occur in a horizontal length of ? ⇒ 3

Answer:

Which of the following have a frequency factor of b = 1?

a sine function whose period is 2 pi radians

a sine function whose x-coefficient is 2 pi

a cosine function with no phase shift whose x-coefficient is 1

a sine function whose graph shows 2 cycles from negative 4 pi radians to 0

a sine function whose graph shows 2 cycles from 0 to 2 pi radians

a cosine function whose graph shows 4 cycles from 0 to 4 pi radians

a cosine function whose graph shows 1 cycle from 3 pi radians to 5 pi radians

From the parent function y = sin(x), the function shown in the graph is shifted

Answer not available

Consider the function Which of the following is true?

Answer not available

When would two sine functions of the form y = sin(x – h) that have different values for h have the same graph? Explain.

Answer not available

What is the period of the cosine function shown in the graph? degrees

Answer:

1080

b in the equation:

Answer not available

Which type of transformation of the parent function would be shown by the graph?

vertical stretch

vertical compression

vertical shift

horizontal stretch

horizontal compression

horizontal shift

Which could be the equation for the function shown in the graph?

y = sine (x minus StartFraction 3 pi Over 2 EndFraction)

y = sine (x minus StartFraction pi Over 2 EndFraction)y = sine (x minus StartFraction pi Over 4 EndFraction)

y = sine (x minus StartFraction pi Over 4 EndFraction)

Which is the graph of

On a coordinate plane, a curve crosses the y-axis at y = 1 and then increases. It then decreases before increasing again.

On a coordinate plane, a curve crosses the y-axis at y = 1 and then decreases. It then increases and decreases again.

What is the period of the cosine function shown in the graph? degrees

Answer not available

b in the equation: 1/1,080✔ 1/331,080

Answer not available

Which type of transformation of the parent function would be shown by the graph?vertical stretchvertical compressionvertical shift✔ horizontal stretchhorizontal compressionhorizontal shift

vertical stretch

vertical compression

vertical shift

horizontal stretch

horizontal compression

horizontal shift

Which could be the equation for the function shown in the graph?

Answer not available

Which is the graph of

Answer not available

Question text not available

Answer not available

Which could be an equation for this function?

y = cos(x – 3)

y = cos(x/3)

y = cos(3x)

Which could be the graph of the function?

On a coordinate plane, a sine curve is shown. The curve goes through half a cycle and crosses the x-axis at 2 pi.

On a coordinate plane, a sine curve is shown. The curve goes through 2 cycles and crosses the x-axis at pi and 2 pi.

Which type of transformation of the parent function is shown by the graph?

vertical stretch

vertical compression

vertical shift

horizontal stretch

horizontal compression

horizontal shift

Which could be an equation for this function?y = cos(x – 3)✔ y = cos(x/3)y = cos(3x)

Answer not available

Which could be the graph of the function?

Option

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Changes in Period and Phase Shift of Sine and Cosine Functions Answers

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