Graphing Sine and Cosine Functions

Flashcard
•
Mathematics
•
9th - 12th Grade
•
Hard
Standards-aligned
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15 questions
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1.
FLASHCARD QUESTION
Front
What is the amplitude of a sine or cosine function?
Back
The amplitude is the maximum distance from the midline of the graph to the peak (or trough). It is always a positive value.
Tags
CCSS.HSF-IF.C.7E
2.
FLASHCARD QUESTION
Front
How do you determine the period of a sine or cosine function?
Back
The period is calculated as 2π divided by the coefficient of x in the function. For example, in y = sin(kx), the period is 2π/k.
Tags
CCSS.HSF.TF.A.4
3.
FLASHCARD QUESTION
Front
What is the general form of a sine function?
Back
The general form is y = A sin(B(x - C)) + D, where A is the amplitude, B affects the period, C is the horizontal shift, and D is the vertical shift.
Tags
CCSS.HSF-IF.C.7E
4.
FLASHCARD QUESTION
Front
What is the general form of a cosine function?
Back
The general form is y = A cos(B(x - C)) + D, where A is the amplitude, B affects the period, C is the horizontal shift, and D is the vertical shift.
Tags
CCSS.HSF-IF.C.7E
5.
FLASHCARD QUESTION
Front
What does a negative amplitude indicate in a sine or cosine function?
Back
A negative amplitude reflects the graph across the midline, but the amplitude itself is still considered positive.
Tags
CCSS.HSF-IF.C.7E
6.
FLASHCARD QUESTION
Front
How does changing the amplitude affect the graph of a sine or cosine function?
Back
Increasing the amplitude stretches the graph vertically, while decreasing it compresses the graph vertically.
Tags
CCSS.HSF-IF.C.7E
7.
FLASHCARD QUESTION
Front
What is the effect of changing the period of a sine or cosine function?
Back
Changing the period affects the frequency of the wave; a shorter period results in more cycles in a given interval, while a longer period results in fewer cycles.
Tags
CCSS.HSF-IF.C.7E
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