1. Transformations of graphs
Example
Draw a sketch of , then the graphs of
(i)
(ii)
(iii)

2. Example
Sketch the graph of , then the graphs of
(i)
(ii)
(iii)

3. In general is a translation of the graph by

4. Transformations of graphs
Example
For the graph of draw the graphs of a) b) c) d)

5. In general is a stretch, parallel to the y-axis by a factor of a.
In general is a stretch, parallel to the x-axis by a factor of .

6. Example
For the graph of draw the graphs of a) b)

7. In general is a reflection of in the y-axis.
In general is a reflection of in the x-axis.

8. Example
, illustrate the shape of a) b) c)

9. Example The graph drawn is of Use the graph to draw a) b) c) d) e) y