Quiz about Periodic Graphs - Vocab & Applications Practice

Question 1

The PERIOD of a function is _______________________.

Accepted Answer

how long one cycle is before the function repeats

Answer

how high and low the function goes from the center line

Answer

the range of the function

Answer

the horizontal line splitting a graph in half

Question 2

Which of the following represents the horizontal length required to complete one cycle?

Accepted Answer

Period

Answer

Midline

Answer

Phase Shift

Answer

Amplitude

Question 3

AMPLITUDE refers to....

Accepted Answer

how high and low the function varies from the midline.

Answer

the length of one cycle of a function

Answer

how often the function repeats

Answer

the horizontal line splitting a graph in half

Question 4

Which of the following represents the vertical stretch of the graph OR distance between the midline and the max or min?

Accepted Answer

Amplitude

Answer

Period

Answer

Midline

Answer

Phase Shift

Question 5

Midline refers to....

Accepted Answer

horizontal line half way between max and min of function

Answer

how high and low the function varies from the center line.

Answer

the length of the function

Answer

how often the function repeats

Question 6

The ____________ is a horizontal line splitting a graph half way between the max and min of function

Accepted Answer

midline

Answer

amplitude

Answer

period

Answer

phase shift

Question 7

Of the features mentioned below, which 2 are DIFFERENT for the 2 sinusoidal functions shown in the picture?

Accepted Answer

amplitude

Accepted Answer

period

Answer

midline

Answer

y-intercept

Question 8

If the Ferris Wheel is placed on a stand 2 m higher, lifting it further from the ground, and no other changes are made, which of the following features would change?

Accepted Answer

midline

Answer

amplitude

Answer

period

Answer

phase shift

Question 9

A person gets on a Ferris Wheel that starts off 8 feet above the ground. At its highest point, the height is 22 feet above the ground and completes a full rotation in 75 seconds. What is the AMPLITUDE of a periodic graph modeling this information?

Accepted Answer

7

Answer

75

Answer

8

Answer

22

Answer

15

Question 10

A person gets on a Ferris Wheel that starts off 8 feet above the ground. At its highest point, the height is 22 feet above the ground and completes a full rotation in 75 seconds. What is the MIDLINE of a periodic graph modeling this information?

Accepted Answer

y = 15

Answer

y = 7

Answer

y = 75

Answer

y = 8

Answer

y = 22

Question 11

A person gets on a Ferris Wheel that starts off 8 feet above the ground. At its highest point, the height is 22 feet above the ground and completes a full rotation in 75 seconds. What is the PERIOD of a periodic graph modeling this information?

Accepted Answer

75

Answer

7

Answer

8

Answer

22

Answer

15

Question 12

A person gets on a Ferris Wheel that starts off 4 feet off the ground. If the Ferris Wheel has a diameter of 10 feet, which of the following is true?

Accepted Answer

The center of the Ferris Wheel is 9 feet above the ground

Accepted Answer

The Ferris Wheel has a radius of 5 ft

Accepted Answer

The top of the Ferris Wheel is 14 feet above the ground.

Answer

The bottom of the Ferris Wheel is 10 feet above the ground.

Answer

The top of the Ferris Wheel is 10 feet above the ground.

Question 13

A reflector on a bicycle tire is going around with a bike tire one complete cycle revolution every 0.6 seconds. At its highest point, the reflector is 20 inches off the ground. At its lowest point, the reflector is 2 inches off the ground. What is the AMPLITUDE of a periodic function representing this function?

Accepted Answer

9

Answer

0.6

Answer

20

Answer

2

Answer

11

Question 14

A reflector on a bicycle tire is going around with a bike tire one complete cycle revolution every 0.6 seconds. At its highest point, the reflector is 20 inches off the ground. At its lowest point, the reflector is 2 inches off the ground. What is the PERIOD of a periodic function representing this function?

Accepted Answer

0.6

Answer

9

Answer

20

Answer

2

Answer

11

Question 15

A reflector on a bicycle tire is going around with a bike tire one complete cycle revolution every 0.6 seconds. At its highest point, the reflector is 20 inches off the ground. At its lowest point, the reflector is 2 inches off the ground. What is the MIDLINE of a periodic function representing this function?

Accepted Answer

y = 11

Answer

y = 9

Answer

y = 0.6

Answer

y = 20

Answer

y = 2

Question 16

A boat bobs up and down in the ocean a total of 10 feet. The boat completes a full cycle every 7 seconds. What is the AMPLITUDE of a periodic function representing the situation?

Accepted Answer

5

Answer

7

Answer

10

Answer

12

Answer

3

Question 17

A boat bobs up and down in the ocean a total of 10 feet. The boat completes a full cycle every 7 seconds. What is the PERIOD of a periodic function representing the situation?

Accepted Answer

7

Answer

5

Answer

10

Answer

12

Answer

3

Question 18

The tides of the ocean can be modeled by a periodic function. At high tide, the water rises to the 9 foot mark on a retaining wall. At low tide, the water falls to the 1 foot mark. Which equation would represent the MIDLINE for this scenario?

Accepted Answer

y = 5

Answer

y = 1

Answer

y = 4

Answer

y = 9

Question 19

The tides of the ocean can be modeled by a periodic function. At high tide, the water rises to the 9 foot mark on a retaining wall. At low tide, the water falls to the 1 foot mark. What height would represent the AMPLITUDE of a function for this scenario?

Accepted Answer

4 ft

Answer

1 ft

Answer

5 ft

Answer

9 ft

Question 20

A periodic function can model the path of a second hand going around the clock. At its highest point, the second hand is 7 feet off the ground. At its lowest point, the second hand is 4 feet off the ground. What is the MIDLINE of the function representing this scenario?

Accepted Answer

y = 5.5

Answer

y = 4

Answer

y = 7

Answer

y = 1.5

Question 21

A periodic function can model the path of a second hand going around the clock. At its highest point, the second hand is 7 feet off the ground. At its lowest point, the second hand is 4 feet off the ground. What is the AMPLITUDE of the function representing this scenario?

Accepted Answer

1.5

Answer

5.5

Answer

4

Answer

7

Question 22

A periodic function can model the path of a second hand going around the clock. At its highest point, the second hand is 7 feet off the ground. At its lowest point, the second hand is 4 feet off the ground. What is the PERIOD of the function representing this scenario in terms of seconds?

Accepted Answer

60

Answer

5.5

Answer

4

Answer

7

Answer

1.5

Question 23

CHALLENGE: A Ferris Wheel has a diameter of 105 meters. If the center of the wheel is 60 meters above the ground, what is the maximum height a passenger can be while riding the ride?

Accepted Answer

112.5 meters

Answer

165 meters

Answer

45 meters

Answer

7.5 meters

Question 24

CHALLENGE: A Ferris Wheel has a diameter of 105 meters. If the center of the wheel is 60 meters above the ground, how far off the ground is the bottom of Ferris Wheel?

Accepted Answer

7.5 meters

Answer

165 meters

Answer

45 meters

Answer

112.5 meters

Periodic Graphs - Vocab & Applications Practice

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