Turning-point, factorised and general forms; sketching from the signs of a, b, c and Δ

What this note covers

1. One parabola in three useful forms
2. Turning-point form and extrema
3. Factorised form, zeros and symmetry
4. General form, axis and discriminant
5. Sketching from the signs of a, b, c and Δ
6. A complete sketching and modelling workflow

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