Which statement is NOT true?

The function intersects the y-axis at 1

Which statement is NOT true?

The amplitude of the function is negative ½

Describe the transformation from the parent function.

Amplitude increases to 2 & down 1

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Sine & Cosine Functions

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Review of Sine and Cosine Trigonometric Functions #sine #cosine #trigonometry #functions

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Questions 20

Answers

1
Which function has a higher maximum point, y = 5sin(x) – 3 or y = 4cos(x) – 1?
y = 5sin(x) – 3
y = 4cos(x) – 1
2
Which statement is NOT true?
The function has phase shift of -⫪
The function intersects the y-axis at 1
The function has a period of 2⫪
The function intersects a coordinate plane at the origin.
3
What is the amplitude of this function?
3
6
1
2π
4
What is the period?
π/3
π/2
π/4
2π/3
5
Use the graph to find sin(π/2).
–1
1
0
1/2
6
What is the midline and amplitude of this graph?
midline y = –2; amp 4
midline y = 0; amp 2
midline y = –3; amp 5
midline y = –6; amp 2
7
What is the period?
π
3π/2
1
2π
8
What is the amplitude for the given trig function?
-6
2
4
6
9
Think of the sine graph. What's sin(π)?
1
1/2
0
–1
10
Which statement is NOT true?
The horizontal shift is left by ⫪
The amplitude of the function is negative ½
The function is reflected.
The function has a period of ⫪/2
11
What is the period for the given trig function?
2⫪
⫪
⫪/4
⫪/2
12
Given the properties, what is the equation for the Sine Function?
f(x) = 3sin(2x +⫪)
f(x) = -3sin(2x +⫪)
f(x) = -3sin(2x -⫪)
f(x) = -3sin(½x +⫪)
13
Describe the transformation from the parent function.
Amplitude increases to 2 & left 1
Amplitude increases to 2 & down 1
Amplitude increases to 2 & right 1
Amplitude increases to 1 & down 2
14
What is the amplitude of this function?
1
-1
2
3
15
Given the properties, what is the equation for the Cosine Function?
f(x) = 2cos(4x -⫪/2)
f(x) = 2cos(8x +⫪/2)
f(x) = 2cos(¼x -⫪/2)
f(x) = 2cos(8x -⫪/2)
16
On what interval is this graph increasing?
–2 to 2
–2π to 0
0 to 2π
–2π to 2π
17
What is the period?
4π
2π
1/2
π
18
What is the equation of this function?
y=2sin(3x)
y = 3cos(2x)
y = 3sin(x)
y = 3sin(2x)
19
Which statement is NOT true?
The graph shifts left π.
The graph has an amplitude of 2.
The graph has a frequency of 1.
The graph has a period of 2π.
20
What is the equation for this function?
y = cos(2x) – 1
y = 2cos(2x) – 1
y = 2cos(0.5x) – 1
y = 2cos(2x) – 3

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