The function after the reflection is f'(x) = -3 + |-x - 11|
The function is given as:
f(x) = -3 + |x - 11|
The function after the reflection across the y-axis is represented as:
f'(x) = f(-x)
So, we have:
f(-x) = -3 + |-x - 11|
This gives
f'(x) = -3 + |-x - 11|
Hence, the function after the reflection is f'(x) = -3 + |-x - 11|
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