Transformations of Sine and Cosine Functions

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•
Mathematics
•
10th - 12th Grade
•
Hard
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15 questions
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1.
FLASHCARD QUESTION
Front
What is the amplitude of the function y = 3sin(7x) - 2?
Back
The amplitude is 3.
2.
FLASHCARD QUESTION
Front
In the equation y = \frac{1}{3}cos(\frac{1}{2}x + \frac{\pi}{3}), what is the phase shift?
Back
The phase shift is -\frac{2\pi}{3}.
3.
FLASHCARD QUESTION
Front
The phase shift is the same as...?
Back
The phase shift is the same as horizontal translation.
4.
FLASHCARD QUESTION
Front
What is the minimum value of the equation y = -5sin(\frac{1}{2}x + \pi) + 8?
Back
The minimum value is y = 3.
5.
FLASHCARD QUESTION
Front
Write an equation for the cosine function with amplitude = 3, period = 2\pi, phase shift: right \pi, vertical shift: up 5.
Back
y = 3cos(x - \pi) + 5.
6.
FLASHCARD QUESTION
Front
Define amplitude in the context of sine and cosine functions.
Back
Amplitude is the maximum distance from the midline of the graph to its peak or trough.
7.
FLASHCARD QUESTION
Front
What is the period of a sine or cosine function?
Back
The period is the distance along the x-axis for one complete cycle of the function.
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