Математика18 мин
Examples of Quadratic Functions
Worked NUET-style problems applying the three forms — projectile, area, and pricing scenarios.
01
Projectile motion
Height-vs-time problems are quadratics in disguise. The vertex tells you maximum height; roots tell you when the object lands.
Maximum height
Height (m, seconds). Maximum height?
- Vertex time: .
- .
Жауап: 21 m at s
02
Area maximisation
Fenced rectangle
A farmer has 40 m of fencing for three sides of a rectangular pen against a wall. Maximum area?
- Sides: width , length .
- Area .
- Vertex: , length .
- Max area: m².
Жауап: 200 m² when ,
03
Revenue and pricing
Жаттығу
Demand: each 5. What price maximises revenue?
Жауап пен түсініктемені көру
Жауап: 12 if integer)
Sales = , price = . Revenue = . Vertex at , so price $\$12.50$.