Analysis
Let’s analyze each transformation step by step:
1. Reflection Across the x-axis:
- A reflection across the x-axis is indicated by a negative sign in front of the sine function.
This eliminates options B and C because they do not have the negative sign.
2. Amplitude of 2:
- The amplitude is the maximum vertical distance from the midline of the sine function.
It is determined by the absolute value of the coefficient in front of .
Since the amplitude is 2, the coefficient must be .
Both remaining options (A and D) satisfy this condition.
3. Shift Units to the Left:
- A leftward phase shift is represented by inside the parentheses.
This eliminates option A, which has
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