Sketching cubics, repeated zeros, end behaviour and finding a cubic's equation from its graph

What this note covers

1. Cubic structure and end behaviour
2. Zeros, crossings and repeated factors
3. Factorising before sketching
4. Translations, scale and the point of inflection
5. Finding an equation from zeros and a point
6. Interpreting and validating a cubic model

6 sections · 10 key terms & formulas · 6 common mistakes