(a)[3]
The curve given by $y = x^2 + 2x - 5$ is translated by $\begin{pmatrix}-1\\3\end{pmatrix}$. Find the equation of the translated curve, and give your answer in the form $y = ax^2 + bx + c$.
(b)[2]
The curve with equation $y = x^2 + 2x - 5$ is changed into the curve with equation $y = 4x^2 + 4x - 5$. Describe fully the single transformation that has been carried out.