Quadratics at Work

Maximising revenue and area

An interactive lesson with 6 steps, about 5 minutes: you predict, drag and solve, with instant feedback on every answer. It runs in your browser and needs JavaScript.

What you’ll learn

• Products of opposing factors give quadratics.
• The maximum (or minimum) is at the vertex, midway between the roots.
• Revenue, projectile height and fenced areas are all quadratic.

Steps

1. Why parabolas appear
2. Set the price
3. Time of flight
4. Fence against a wall
5. Discounting a tour
6. Highest point