What is a Quadratic Function?

What is a Quadratic Function?

Note:

You can't go through algebra without seeing quadratic functions. The graphs of quadratic functions are parabolas; they tend to look like a smile or a frown. In this tutorial, get introduced to quadratic functions, look at their graphs, and see some examples of quadratic functions!

Keywords:

  • definition
  • quadratic function
  • parabola
  • degree 2
  • degree two
  • 2nd degree
  • type of function

Background Tutorials

  • Determine the slope of a line given a table of values, a graph, two points on the line, and an equation written in various forms, including y = mx + b, ax + by = c, and y - y1 = m(x - x1)

      • What's a Function?What's a Function?

      What's a Function?

      You can't go through algebra without learning about functions. This tutorial shows you a great approach to thinking about functions! Learn the definition of a function and see the different ways functions can be represented. Take a look!

  • Graph the functions f(x)=√x, f(x)=1/x, f(x)=x3, f(x)= 3√x, f(x)=bx, f(x)=|x|, and f(x)=logb (x) where b is 2, 10, and e, and, when applicable, analyze the key attributes such as domain, range, intercepts, symmetries, asymptotic behavior, and maximum and minimum given an interval

      • How Do You Find the Degree of a Polynomial?How Do You Find the Degree of a Polynomial?

      How Do You Find the Degree of a Polynomial?

      Terms and polynomials can't run a fever, but they do have degrees! This tutorial will tell you all about the degree of a term and of a polynomial and will show you how to find it!

Further Exploration

  • Write the quadratic function given three specified points in the plane

      • What is the Standard Form of a Quadratic?What is the Standard Form of a Quadratic?

      What is the Standard Form of a Quadratic?

      Got a quadratic polynomial? Want to put it in standard form? Watch this tutorial to learn the steps it takes to make sure a quadratic polynomial is in standard form!