AnswersAlgebra 2 MP 234 CHSGraphing Sine and Cosine

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

10 verified answers7 views
1
Free Preview

Which term gives the horizontal length of one cycle of a periodic function?

A
amplitude
B
period
C
frequency
D
phase shift
2
Free Preview

Which of the following could be the equation of the function below?

Question illustration
A
y = negative 2 cosine (4 (x + pi)) minus 1
Option A
B
y = 2 cosine (x + pi) + 1
Option B
C
y = negative 2 cosine (2 (x + pi)) minus 1
Option C
D
y = 2 cosine (4 (x + pi)) + 2
Option D
3

What is the period of y = sin(3x)?

A
StartFraction pi Over 3 EndFraction
Option A
B
StartFraction 2 pi Over 3 EndFraction
Option B
C
3 pi
Option C
D
6 pi
Option D
4

What is the equation of the graph below?

Question illustration
A
y = sine (StartFraction x Over 3 EndFraction)
Option A
B
y = sin(3x)
C
y = sin(0.3x)
D
y = sine (StartFraction 2 x Over 3 EndFraction)
Option D
5

What is the phase shift of a periodic function?

A
a horizontal translation of the function
B
the horizontal length of one cycle of the function
C
the number of cycles of the function that occur in one horizontal unit
D
a vertical translation of the function
6

Which transformations are needed to change the parent cosine function to ?

Question illustration
A
vertical stretch of 0.35, horizontal stretch to a period of , phase shift of units to the right
Option A
B
vertical compression of 0.35, horizontal compression to a period of , phase shift of units to the left
Option B
C
vertical compression of 0.35, horizontal compression to a period of , phase shift of units to the right
Option C
D
vertical stretch of 0.35, horizontal stretch to a period of , phase shift of units to the right
Option D
7

Which of the following is the graph of ?

Question illustration
A
On a coordinate plane, a curve crosses the y-axis at (0, negative 1). It has a minimum of negative 1 and a maximum of 1. It goes through 2 cycles at pi.
Option A
B
On a coordinate plane, a curve crosses the y-axis at (0, negative 1). It has a minimum of negative 1 and a maximum of 1. It goes through 1 cycle at pi.
Option B
C
On a coordinate plane, a curve crosses the y-axis at (0, 1). It has a minimum of negative 1 and a maximum of 1. It goes through 1 cycle at 4 pi.
Option C
D
On a coordinate plane, a curve crosses the y-axis at (0, 1). It has a minimum of negative 1 and a maximum of 1. It goes through 2 cycles at 2 pi.
Option D
8

Which transformations are needed to change the parent cosine function to ?

Question illustration
A
vertical compression of 3, horizontal stretch to a period of , phase shift of units to the left
Option A
B
vertical stretch of 3, horizontal compression to a period of , phase shift of units to the right
Option B
C
vertical compression of 3, horizontal stretch to a period of 10p, phase shift of units to the right
Option C
D
vertical stretch of 3, horizontal compression to a period of , phase shift of units to the left
Option D
9

What is the equation of the graph below?

Question illustration
A
y = cosine (x + StartFraction pi Over 2 EndFraction)
Option A
B
y = cosine (x + 2 pi)
Option B
C
y = cosine (x + StartFraction pi Over 3 EndFraction)
Option C
D
y = cosine (x + pi)
Option D
10

The graph of is the graph of the y = cos(x) shifted in which direction?

Question illustration
A
units to the left
Option A
B
units to the right
Option B
C
units up
Option C
D
units down
Option D

Did you find these answers helpful?

More from this Course

Quiz
10 verified answers

Graphing Sine and Cosine

Quiz
10 verified answers

Graphing Sine and Cosine

Quiz
10 verified answers

Graphing Sine and Cosine

Changes in Period and Phase Shift of Sine and…