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WorksheetsTranslating Sine & Cosine Functions
Total questions: 12
Worksheet time: 3600secs
Where does the graph of y=cos(x) begin its first cycle?
(0,0)
(0,1)
(0, Pi)
(1, Pi)
The function y = 2 sin θ transforms the parent function y = sin θ by _________________________
stretching the graph vertically by a factor of 2
translating the graph vertically up 2 units
What is the vertical shift for
y = 4 cos(x +π) - 2?
(Define your transformations first (a,b,c,d), and then determine which one of your answer choices matches the transformation for this function )
up 2
left 2
right 2
down 2
What is the period for
y = 4 cos(x +π) - 2?
(Define your transformations first (a,b,c,d), and then determine which one of your answer choices matches the transformation for this function )
2
-2
2π
π
What is the amplitude for y = 4 cos(x +π) - 2?(Define your transformations first (a,b,c,d), and then determine which one of your answer choices matches the transformation for this function )
4
-4
2π
π
-2
What is the period of y = 4cos(2(x -1))?
4π
π
2π
π/2
y = 3sin (7x) -2
What is the amplitude and period of y = 2sin(3(x+4))
Amplitude = 2
Period = 3
Amplitude = 3
Period = 2
Amplitude = 2
Period = 2π/3,
Amplitude = 2π/3
Period = 2
