Combined Transformations

Note

Refer to 8.01 + 8.02 - Translations, 8.03 - Reflections, and 8.04 + 8.05 - Dilations for the purpose of these pronumerals.

𝑦=𝑏[1π‘Ž(π‘₯βˆ’π‘)]+𝑑

Warning

This formula is not included in the new syllabus. However, it may still be of assistance.

Additionally, if you don’t want to utilise this formula, you should remember this order of transformations.

Horizontal Dilation→Vertical Dilation→Horizontal Translation→Vertical Translation

Reflections can be during the dilation phase of transformations.