Transforming Graphs
There are many ways that graphs can be transformed but many of them can be expressed as– transformations,
– transformations, an
– transformation followed by a
– transformation or vice versa. The transformations together with their effects are summarised below.
|
| Effect |
Scaling by | ||
Scaling by 3 in the | ||
Scaling by 4 in the | ||
Translation in the +ve | ||
Translation in the -ve | ||
The left hand side or -ve | ||
The -ve | ||
Translation in the -ve | ||
Translation in the +ve | ||
Scaling in the | ||
both | Translation in the +ve | |
both | Scaling in the | |
both | Translation in the -ve |
Summary of Transformations
You must first decide for each transformation whether it is anor
– transformation. The
transformations are always counter intuitive:
means move 2 in the negative
– direction and
means scale by
in the
– direction.