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

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

In general is a translation of the graph by

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

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 .

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

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

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

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