Sinusoidal Functions
Flashcard
•
Mathematics
•
10th - 11th Grade
•
Hard
Standards-aligned
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15 questions
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1.
FLASHCARD QUESTION
Front
What is the amplitude of a sinusoidal function?
Back
The amplitude is the maximum distance from the midline of the graph to its peak or trough. It determines the height of the wave.
Tags
CCSS.HSF-IF.C.7E
2.
FLASHCARD QUESTION
Front
How do you find the period of a sinusoidal function?
Back
The period is calculated as 2π divided by the coefficient of x in the function's argument. For example, in y = a sin(bx), the period is 2π/b.
Tags
CCSS.HSF.TF.A.4
3.
FLASHCARD QUESTION
Front
What is the general form of a sinusoidal function?
Back
The general form is y = a sin(bx + c) + d or y = a cos(bx + c) + d, where 'a' is the amplitude, 'b' affects the period, 'c' is the phase shift, and 'd' is the vertical shift.
Tags
CCSS.HSF-IF.C.7E
4.
FLASHCARD QUESTION
Front
What does the 'b' value in a sinusoidal function represent?
Back
The 'b' value affects the frequency and period of the function. The period is calculated as 2π/b.
Tags
CCSS.HSF-IF.C.7E
5.
FLASHCARD QUESTION
Front
What is the phase shift in a sinusoidal function?
Back
The phase shift is the horizontal shift left or right for the graph of the function, determined by the value of 'c' in y = a sin(bx + c) + d.
Tags
CCSS.HSF-IF.C.7E
6.
FLASHCARD QUESTION
Front
What is the vertical shift in a sinusoidal function?
Back
The vertical shift is the amount the graph is moved up or down, determined by the value of 'd' in the function.
Tags
CCSS.HSF-IF.C.7E
7.
FLASHCARD QUESTION
Front
How do you determine the maximum and minimum values of a sinusoidal function?
Back
The maximum value is d + a and the minimum value is d - a, where 'a' is the amplitude and 'd' is the vertical shift.
Tags
CCSS.HSF.TF.A.4
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