Quadratic Model

Topic

Quadratics Concepts

Definition

A quadratic model is a mathematical representation of a real-world situation using a quadratic function.

Description

Quadratic models are used to describe relationships where the rate of change is not constant, often involving acceleration or deceleration. These models are applied in various fields such as physics, finance, and biology to predict outcomes and analyze trends. In physics, quadratic models describe projectile motion, while in finance, they can model profit and loss scenarios. In math education, quadratic models help students understand how mathematical concepts apply to real-world situations, enhancing their problem-solving skills and ability to interpret data. By constructing and analyzing quadratic models, students learn to identify key features such as the vertex, axis of symmetry, and intercepts, and use these to make predictions and solve problems. 

An example of a quadratic model is using the function 

f(x) = −4.9x² + 20x + 5 

to model the height of a projectile over time.

For a complete collection of terms related to Quadratic Expressions, Functions, and Equations click on this link: Quadratics Collection