What is the equation of the transformed sine function?
Options
A
B
C
D
Answer & Analysis
Answer
C
Analysis
1. Horizontal Shift
- Look at the key points of the original sine function , such as the points where , , and . For the standard sine function, has a zero-crossing at , a maximum at , and a minimum at .
- On the given transformed graph, you can observe that these characteristic points have shifted horizontally. The zero-crossing that was originally at for has now moved to . This indicates a horizontal shift to the right by units.
- In general, for a sine function
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