1.1. The diagram below shows the graph of $y=f(x).$.  The marked point $B(4,8)$ lies on the graph, and the graph meets the origin at the marked point $A$.

In separate diagrams, sketch the curves with equation

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

(ii) $y=f(4x)$

On each diagram, give the coordinates of the images of points $A$ and $B$ under the given transformation.

1.2. On the graph of $y=af(x)$ the image of one of the two marked points has a $y$coordinate of 4. Find the value of $a$.