Transformations%20of%20graphs

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
• 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)