The diagram below shows the graph of the function \(y = f(x)\).
The graph of the function \(y = -f(x+1)\) is drawn in which of the following diagrams?
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The graph \(y = f(x+1)\) is a translation of the original graph by one unit to the left.
This is followed by a reflection in the \(x\)-axis to get \(y = -f(x+1)\), and so the answer is (a).
(Doing the reflection followed by the translation gives the same answer.)
