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```Name:_________________________
Mr. Nickels
1).
2)
3)
Math 3C
A modulated laser heats a diamond. Its variable temperature, in degrees Celsius, is given by f (t )  T sin at .
What is the period of the curve?
1
(1) T
(3)
a
2
(2)
(4) f (t )  T sin at
a
What is the period of the function y = 5 sin 3x?
(1) 5
(3) 3
2
2
(2)
(4)
5
3
The brightness of the star MIRA over time is given by the equation y = 2 sin

x + 6 , where x represents
4
time and y represents brightness. What is the period of this function, in radian measure?
4)
A monitor displays the graph y = 3 sin 5x. What will be the amplitude after a dilation of 2?
(1) 5
(3) 7
(2) 6
(4) 10
5)
What is the amplitude of the function y 

2
2
(2)
3
(1)
2
sin 4 x ?
3
(3) 3 
(4) 4
6)
The path traveled by a roller coaster is modeled by the equation y = 27 sin 13x + 30. What is the maximum
altitude of the roller coaster?
(1) 13
(3) 30
(2) 27
(4) 57
7)
Which type of symmetry does the equation y = cos x have?
(1) line symmetry with respect to the x-axis
(2) line symmetry with respect to y = x
(3) point symmetry with respect to the origin

(4) point symmetry with respect to ( ,0)
2
8)
The shaded portion of the accompanying map indicates areas of night, and the un-shaded portion indicates
areas of daylight at a particular moment in time.
Which type of function best represents the curve that divides the area of night from the area of daylight?
(3) tangent
(2) cosine
(4) logarithmic
9)
A certain radio wave travels in a path represented by the equation y  5 sin 2 x. What is the period of this
wave?
(1) 5
(3) 
(2) 2
(4) 2
10) A sound wave is modeled by the curve y  3 sin 4 x. What is the period of this curve?
(1) 
(3) 3

(2)
(4) 4
2
11) An object that weighs 2 pounds is suspended in a liquid. When the object is depressed 3 feet from its
equilibrium point, it will oscillate according to the formula x = 3 cos (8t), where t is the number of seconds
after the object is released. How many seconds are in the period of oscillation?

(1)
(3) 3
4
(2)   
(4) 2
12)
What is the period of the graph of the equation y  2 sin
(1)
2

3
(2) 2
(3) 6
(4)
3
2
1
x?
3
```
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