The diagram below shows the graph of the function \(y = f(x)\).

Graph of f, an increasing function with increasing gradient, passing through the origin

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.)