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Trigonometry Functions and Transformations Flashcards | StudBud
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Trigonometry Functions and Transformations
Trigonometry Functions and Transformations
24 terms
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A #review of #trigfunctions and #functiontransformations
Flashcards
24 cards
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Questions
24
Answers
1
What is the period of the tangent function?
π/2
π
2π
π/4
2
If the period is 3π, what is "b" in the cosine function?
b = 2/3
b = 1/2
b = 3/2
b = 1/3
3
What are the maximum and minimum values of y = -4sin5x - 2?
2, -6
-2, -6
4, -4
6, -2
4
What are the period and amplitude of y = 3cos(πx)?
amplitude = 2, period = 2
amplitude = 2, period = 3
amplitude = 3, period = 3
amplitude = 3, period = 2
5
What is the function shown?
y = 4sin(x-π)
y = 4sin(x-2π)
y = 3sin(x-π/2)
y = 4sin(x+π/6)
6
What is the function shown?
y = 6sin(2x)-3
y = 6cos(2x)+3
y = 6sin(2x)+3
y = 6cos(2x)-3
7
What is the "2π/b" in y = a cos(b(x-c))+d?
Shifts up/down
Amplitude
Period
Shifts left/right
8
What are the maximum and minimum of y = sin(4x + 1/2) - 1?
1, -2
0, -2
0, -1
1, -1
9
What direction is the y = 3sin(x - π) shifted?
right
up
down
left
10
What is the "d" in y = a cos(b(x-c))+d?
Shifts left/right
Shifts up/down
Amplitude
Period
11
What is the function shown?
y = 2cosx + 4
y = 2cosx + 2
y = 2cosx + 3
y = 2sinx + 4
12
y = 3sin(2x + 3) - 2 is shifted in which directions?
down and left
down and right
up and right
up and left
13
What is the period of y = cos6x
π/6
6π
3π
π/3
14
What is the amplitude of y = 4 cos (7x+π) - 3
π
3
7
4
15
What is the function shown?
y = 3sin(2x)+1
y = 3cos(2x)-1
y = 3cos(2x)+1
y = 3cos(2x+1)
16
What is the period of y = 2tan(x/2)
2π
π/2
1/2
1
17
What is the function shown?
y = 4sin(2x)-3
y = 3sin(2x)-4
y = 2sin(2x)-4
y = 4sin(2x-4)
18
What are the maximum and minumum values of y = 6 + 2cosx?
-4, -8
8, 4
8, -4
2, -2
19
What is the period of y = 3tan6πx?
3
1/2
1/6
1/3
20
What is the "a" in y = a sin(b(x-c))+d?
Period
Shift left/right
Shift up/down
Amplitude
21
What is the "c" in y = a sin(b(x-c))+d?
Shift up/down
Amplitude
Period
Shift left/right
22
What is the transformation from y = sinx to y = 2sin3x?
amplitude = 3, period = 2π/3
amplitude = 3, period = 2/3
amplitude = 2, period = 2π/3
amplitude = 2, period = 2/3
23
How is the function y = 4 sinx + 2 shifted?
2 units left
2 units up
2 units right
2 units down
24
What does it mean for a function to be periodic?
it repeats itself two times
it repeats over and over
it happens once
IDK, like the periodic table?
