This topic covers: - Solving quadratic equations - Graphing quadratic functions - Features of quadratic functions - Quadratic equations/functions word problems - Systems of quadratic equations - Quadratic inequalities
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.
Different forms of quadratic functions reveal different features of those functions. Here, Sal rewrites f (x)=x²-5x+6 in factored form to reveal its zeros and in vertex form to reveal its vertex. Created by Sal Khan.
Gain more insight into the quadratic formula and how it is used in quadratic equations. The quadratic formula helps you solve quadratic equations, and is probably one of the top five formulas in math.
And as you might guess, it is to solve for the roots, or the zeroes of quadratic equations. So let's speak in very general terms and I'll show you some examples.
We'll learn all sorts of ways to solve quadratic equations, from factoring to completing the square. By the end of the unit, we'll be able to compare, transform, and even create our own quadratic functions.
