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Trig Graphing Quiz

Authored by Maureen Duda

Mathematics

11th Grade

CCSS covered

Used 6+ times

Trig Graphing Quiz
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15 questions

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1.

MULTIPLE CHOICE QUESTION

2 mins • 1 pt

The voltage used by most households can be modeled by a sine function. The maximum voltage is 120 volts, and there are 60 cycles every second. Which equation best represents the value of the voltage as it flows through the electric wires, where t is time in seconds?

V = 120sin(t)

V = 120sin(60t)

V = 120sin(60πt)

V = 120sin(120πt)

2.

MULTIPLE CHOICE QUESTION

2 mins • 1 pt

Which function's graph has a period of 8 and reaches a maximum height of 1 if at least one full period is graphed?

y = -4cos(π/4 x) - 3

y = -4cos(π/4 x) + 5

y = -4cos(8x) - 3

y = -4cos(8x) + 5

Tags

CCSS.HSF-IF.C.7E

3.

MULTIPLE CHOICE QUESTION

2 mins • 1 pt

Media Image

The function f(x) = a cos(bx) + c is plotted on the graph shown below.

a = 2, b = 6, c = 3

a = 2, b = 3, c = 1

a = 4, b = 6, c = -5

a = 4, b = π/3, c = -3

Tags

CCSS.HSF-IF.C.7E

4.

MULTIPLE CHOICE QUESTION

2 mins • 1 pt

Media Image

The depth of the water at a marker 20 feet from the shore in a bay is depicted in the graph below. If the depth, d, is measured in feet and time, t, is measured in hours since midnight, what is an equation for the depth of the water at the marker?

d = 5cos(2π/6 t) + 9

d = 9cos(2π/6 t) + 5

d = 9sin(2π/6 t) + 5

d = 5sin(2π/6 t) + 9

5.

MULTIPLE CHOICE QUESTION

2 mins • 1 pt

The temperature, in degrees Fahrenheit, in Times Square during a day in August can be predicted by the function T(x) = 8sin(0.3x - 3) + 74, where x is the number of hours after midnight. According to this model, the predicted temperature, to the nearest degree Fahrenheit, at 7 P.M. is

68

74

77

81

6.

MULTIPLE CHOICE QUESTION

2 mins • 1 pt

The Ferris wheel at the landmark Navy Pier in Chicago takes 7 minutes to make one full rotation. The height, H, in feet, above the ground of one of the six-person cars can be modeled by H(t) = 70sin(2π/7 (t - 1.75)) + 80, where t is time, in minutes. Using H(t) for one full rotation, this car's minimum height, in feet, is

150

70

10

0

7.

MULTIPLE CHOICE QUESTION

2 mins • 1 pt

The average monthly temperature, T(m), in degrees Fahrenheit, over a 12 month period, can be modeled by T(m) = −23cos(π/6 m) + 56, where m is in months. What is the range of temperatures, in degrees Fahrenheit, of this function?

[−23,23]

[33,79]

[−23,56]

[−79,33]

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