The original worked lessons remain the main explanations. Use these focused reminders to check the conditions before you start.
Transformations, stretches and coordinate rules
Describe translations, reflections and stretches accurately.
Use point mappings for combined transformations.
Transform full domains and ranges, including strict endpoints.
For \(y=A f(Bx+C)+D\), with \(B\ne0\), a point \((u,v)\) maps to \(\displaystyle (\frac{u- C}{B}, Av+ D)\). The horizontal scale factor is \(\displaystyle \frac{1}{|B|}\). A negative \(B\) reflects horizontally; a negative \(A\) reflects vertically. State the order when describing a sequence.