Question #6452453Fill in the Blank
Algebra-2
Question
The function has an amplitude of __________.
Answer & Analysis
Analysis
Question Analysis
This question involves the basic form of a sine function and the identification of its amplitude. The main focus is on distinguishing the amplitude from other parameters (vertical shift in this case) in the sine function equation.
Key Concept Explanation
The general form of a sine function is , where:
represents the amplitude (vertical stretch/compression; half the distance between the maximum and minimum values of the function).
represents the vertical shift (moves the graph up/down but does not affect amplitude).
Step-by-Step Solution
1. Compare the given function to the general form
This question involves the basic form of a sine function and the identification of its amplitude. The main focus is on distinguishing the amplitude from other parameters (vertical shift in this case) in the sine function equation.
Key Concept Explanation
The general form of a sine function is , where:
represents the amplitude (vertical stretch/compression; half the distance between the maximum and minimum values of the function).
represents the vertical shift (moves the graph up/down but does not affect amplitude).
Step-by-Step Solution
1. Compare the given function to the general form
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