We've seen linear and exponential functions, and now we're ready for quadratic functions. We'll explore how these functions and the parabolas they produce can be used to solve real-world problems.

The graph of a quadratic function is a parabola, which is a "u"-shaped curve. In this article, we review how to graph quadratic functions.

Learn how to graph any quadratic function that is given in standard form. Here, Sal graphs y=5x²-20x+15.

Graph quadratic functions given in the standard form ax²+bx+c. For example, graph y=5x²-20x+15.

This topic covers: - Solving quadratic equations - Graphing quadratic functions - Features of quadratic functions - Quadratic equations/functions word problems - Systems of quadratic equations - …

Graph parabolas in all forms VA.Math: A.F.2.c VA.Math.2023: A.F.2.c Google Classroom You might need: Calculator

Learn how to graph any quadratic function that is given in vertex form. Here, Sal graphs y=-2 (x-2)²+5. Created by Sal Khan.

We can think graphs of absolute value and quadratic functions as transformations of the parent functions |x| and x². Importantly, we can extend this idea to include transformations of any function whatsoever!

Unlike the graphs of linear functions, the graphs of quadratic functions are nonlinear: they don't look like straight lines. Specifically, the graphs of quadratic functions are called parabolas.

I had some trouble with this when I started out, so to help others, here is the method I used for graphing quadratics. So, you want to first find the x-intercept and the axis of symmetry from the equation.