\(R\) is reflection in the \(x\)-axis; \(T\) is translation by \(\begin{pmatrix}3\\-1\end{pmatrix}\).

(a) Find \(y=g(x)\) after \(y=x^2\) is transformed by \(R\), then \(T\). [2]

(b) Find \(y=h(x)\) after \(y=x^2\) is transformed by \(T\), then \(R\). [2]

(c) State fully the transformation taking \(y=g(x)\) to \(y=h(x)\). [2]