
Sinusoidal Functions Practice
Flashcard
•
Mathematics
•
12th Grade
•
Practice Problem
•
Hard
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14 questions
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1.
FLASHCARD QUESTION
Front
What is a sinusoidal function?
Back
A sinusoidal function is a mathematical function that describes a smooth, periodic oscillation. It can be represented in the form y = a sin(bx + c) + d, where 'a' is the amplitude, 'b' affects the period, 'c' is the phase shift, and 'd' is the vertical shift.
2.
FLASHCARD QUESTION
Front
What does the amplitude of a sinusoidal function represent?
Back
The amplitude of a sinusoidal function represents the maximum distance from the midline (or equilibrium position) to the peak (or trough) of the wave. It indicates how far the function rises or falls from its midline.
3.
FLASHCARD QUESTION
Front
How do you determine the period of a sinusoidal function?
Back
The period of a sinusoidal function is determined by the coefficient 'b' in the function y = a sin(bx + c). The period is calculated as P = (2π)/|b|.
4.
FLASHCARD QUESTION
Front
What effect does changing the value of 'd' have on a sinusoidal function?
Back
Changing the value of 'd' in the function y = a sin(bx + c) + d shifts the entire graph vertically. If 'd' is positive, the graph shifts up; if 'd' is negative, it shifts down.
5.
FLASHCARD QUESTION
Front
What is the phase shift in a sinusoidal function?
Back
The phase shift is the horizontal shift of the graph of a sinusoidal function. It is determined by the value of 'c' in the function y = a sin(bx + c). The phase shift is calculated as -c/b.
6.
FLASHCARD QUESTION
Front
How do you find the midline of a sinusoidal function?
Back
The midline of a sinusoidal function is the horizontal line that runs through the center of the wave. It can be found by the value of 'd' in the function y = a sin(bx + c) + d.
7.
FLASHCARD QUESTION
Front
What is the general form of a sinusoidal function?
Back
The general form of a sinusoidal function is y = a sin(bx + c) + d, where 'a' is the amplitude, 'b' affects the period, 'c' is the phase shift, and 'd' is the vertical shift.
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