Colorful House of Math logo
Log in

What Are Quadratic Models?

A quadratic function is written like this:


Quadratic Model

f(x) = ax2 + bx + c

Here are a couple of examples of the graphs of quadratic functions:

Graphs of quadratic model

Figure 1: a > 0 the graph is convex, a < 0 the graph is concave

You use the quadratic model when your points lie in a convex or concave arc. But you can also use other polynomial functions in those cases. You can test different polynomial functions to see what gives the best fit.

A typical situation where using a quadratic model for your data points makes sense is when you assume that what you’re modeling has a maximum or minimum. For example, if you want to model a javelin throw, you know that the height of a javelin throw has a maximum. That means a quadratic model would fit the data well.

Want to know more?Sign UpIt's free!
White arrow pointing to the LeftPrevious entry
What Are Linear Models?
Next entryWhite arrow pointing to the right
What Are Exponential Models?