Q: 🎅Pre-Calculus Unit 7 Graphing Test

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Mathematics
•
9th - 12th Grade
•
Hard
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15 questions
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1.
FLASHCARD QUESTION
Front
What is a vertical shift up in graphing?
Back
A vertical shift up occurs when the entire graph of a function is moved upward by a certain number of units, affecting the y-values of the function.
2.
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, indicating the height of the wave.
3.
FLASHCARD QUESTION
Front
What does the equation y = ½cos(x) represent?
Back
This equation represents a cosine function with an amplitude of ½, meaning the peaks and troughs are half the height of the standard cosine function.
4.
FLASHCARD QUESTION
Front
What is the effect of the coefficient in front of the sine function, such as in y = 2 sin(2x)?
Back
The coefficient (2 in this case) represents the amplitude of the sine wave, indicating that the peaks and troughs are twice as high as the standard sine function.
5.
FLASHCARD QUESTION
Front
How do you identify a graph of a sine function?
Back
A sine function graph typically starts at the origin (0,0), oscillates between its maximum and minimum values, and has a smooth, wave-like pattern.
6.
FLASHCARD QUESTION
Front
What is a horizontal shift in graphing?
Back
A horizontal shift occurs when the graph of a function is moved left or right along the x-axis, affecting the x-values of the function.
7.
FLASHCARD QUESTION
Front
What does the equation y = sin(½x) indicate about the period of the sine function?
Back
The period of the sine function is affected by the coefficient of x; in this case, the period is 4Ï€, which is double the standard period of 2Ï€.
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