1.1. The diagram below shows the graph of $y=f(x)$. The graph intersects the coordinate axes at the two marked points $A(0,6)$ and $B(3,0)$.  The graph has two asymptotes as shown, with equations  $y=\frac{20}{3}$   and  $x=\frac{10}{3}$ .

In separate diagrams, sketch the curves with equation

(i) $y=f(5x)$

(ii) $y=-f(x)$

On each diagram, give the coordinates of the images of points $A$ and $B$ under the given transformation, as well as stating the equations of the transformed asymptotes.

1.2. The graph of $y=af(x)$ has an asymptote with equation $y=2$.  Find the value of $a$.