2025 Nov TZ3 P1 Q5

The following diagram shows the graph of \(y = \frac{Ax + B}{x - 4}\), where \(x \in \mathbb{R}\), \(x \neq 4\) and \(A, B \in \mathbb{Z}\).
The graph passes through the points \(\mathrm{P}(-10,1)\) and \(\mathrm{Q} (3, -12)\).

1. Determine the value of \(A\) and the value of \(B\).

   [3]

2. Describe a sequence of transformations that would map the graph of \(y = \frac{1}{x}\) onto the graph of \(y = \frac{Ax + B}{x - 4}\).

   [5]