Graphing the Cosine Graph with Multiple Transformations

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Mathematics
•
11th Grade - University
•
Hard
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7 questions
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1.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the first step in graphing a trigonometric function?
Identify the amplitude
Determine the phase shift
Find the vertical translation
Calculate the X scale
2.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
How do you calculate the period of a trigonometric function?
Divide 2π by the coefficient of X
Multiply the amplitude by 2
Add the phase shift to the X scale
Subtract the vertical translation from the amplitude
3.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the X scale if the period is π/2?
π
π/16
π/8
π/4
4.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
How is the phase shift determined in a trigonometric function?
By adding the amplitude to the period
By setting the inside of the function equal to zero
By finding the maximum value of the function
By calculating the difference between the highest and lowest points
5.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What effect does a negative amplitude have on the graph of a trigonometric function?
It decreases the X scale
It shifts the graph to the right
It reflects the graph over the X-axis
It increases the period
6.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
When graphing a cosine function, where do you start if there is a reflection over the X-axis?
At the phase shift
At the origin
At the minimum point
At the maximum point
7.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the final step in graphing a transformed trigonometric function?
Calculate the new period
Find the new X scale
Apply the vertical translation
Determine the new amplitude
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