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?




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.)