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Quadratic Function and the Quadratic Formula

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Quadratic equations are equations that have the variable raised to the second power. They are in the form of f(x) = ax^2 + bx + c.

The graph of a quadratic equation looks like a cross between a U and a V. There are two roots (where the funtion returns 0 also called a zero); they can be imaginary and both can be the same. In the graph above, the roots are 0.

A common way to find the roots of a quadratic equation is with the quadratic formula. It is x = \frac{-b \pm \sqrt {b^2-4ac}}{2a} where x is the root. It has two solutions, one using the plus sign and the other using the subtraction sign. The nature of the roots can be found with the discriminant. The discriminant is the part from under the square root, b^2 - 4ac. If it is negative, there are two imaginary zeros. If the discriminant is 0, there is one real roots. If the discriminant is positive, there are two real roots.

There is more too the quadratic function, but it can be explained along with all other polynomial equations.

Written by todizzle91

June 20, 2008 at 10:37 am

Posted in Functions

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  1. this website totally rocks!!!!

    Denise Taylor

    May 15, 2009 at 2:01 am


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