Quadratic equations lend themselves to modeling situations that happen in real life and in decision making, such as the rise and fall of profits from selling goods, the decrease and increase in the amount of time it takes to run a mile based on your age, and so on.
The wonderful part of having something that can be modeled by a quadratic is that you can easily solve the equation when set equal to zero and predict the patterns in the function values.
Source:
https://www.dummies.com/education/math/algebra/applying-quadratics-to-real-life-situations/
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