Graphing Trigonometric Function Practice
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•
Mathematics
•
University
•
Hard
Standards-aligned
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15 questions
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1.
FLASHCARD QUESTION
Front
What is the amplitude of a trigonometric function?
Back
The amplitude is the maximum distance from the midline of the graph to its peak or trough. It is always a positive value.
Tags
CCSS.HSF-IF.C.7E
2.
FLASHCARD QUESTION
Front
How do you determine the amplitude from the equation of a sine or cosine function?
Back
In the equation of the form y = A sin(Bx + C) or y = A cos(Bx + C), the amplitude is given by the absolute value of A.
Tags
CCSS.HSF-IF.C.7E
3.
FLASHCARD QUESTION
Front
What is the phase shift of a trigonometric function?
Back
The phase shift is the horizontal shift left or right for periodic functions, determined by the value of C in the equation y = A sin(Bx + C) or y = A cos(Bx + C).
Tags
CCSS.HSF-IF.C.7E
4.
FLASHCARD QUESTION
Front
How do you calculate the phase shift from the equation of a sine or cosine function?
Back
The phase shift is calculated as -C/B. If C is positive, the shift is to the left; if negative, the shift is to the right.
Tags
CCSS.HSF-IF.C.7E
5.
FLASHCARD QUESTION
Front
What is the vertical shift in a trigonometric function?
Back
The vertical shift is the amount the graph is moved up or down, determined by the value of D in the equation y = A sin(Bx + C) + D or y = A cos(Bx + C) + D.
Tags
CCSS.HSF-IF.C.7E
6.
FLASHCARD QUESTION
Front
What is the period of a trigonometric function?
Back
The period is the distance along the x-axis for one complete cycle of the function, calculated as 2π/B for sine and cosine functions.
Tags
CCSS.HSF.TF.A.4
7.
FLASHCARD QUESTION
Front
How do you find the period from the equation of a sine or cosine function?
Back
The period is found using the formula Period = 2π/|B|, where B is the coefficient of x in the function.
Tags
CCSS.HSF.TF.A.4
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