Find the amplitude of the cosine function . The amplitude is ________.
Answer & Analysis
Analysis
Question Analysis
This question involves identifying the amplitude of a transformed cosine function in the form .The main focus is on recognizing the role of the coefficient A in determining the amplitude, regardless of other transformations (phase shift, vertical shift, or period change).
Key Concept Explanation
For a cosine function :Amplitude = (it represents the maximum distance from the midline to the peak/trough of the graph).
Step-by-step Solution
1. Compare the given function to the standard form
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