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# Quadratic Function Formula – How To Find The Vertex Of A Quadratic Function?

In elementary algebra, the quadratic formula would be the solution for quadratic equation. There are two possible techniques for solving the quadratic equation instead you put values in quadratic equation directly. These techniques are factoring, completing the square or graphing etc. Out of all these, working with quadratic formula is always the most convenient option.

The general form of quadratic equation could be given as –

$\large ax^{2} + bx + c =0$

Here x is the unknown variable, while a, b, and c are constants that could not be equal to the zero.

This is easy to verify the quadratic formula by satisfying the quadratic equations and inserting the former values to the latter. Hence, the standard quadratic formula in mathematics is given as below –

$\large x=\frac{-b\pm \sqrt{b^{2}-4ac}}{2a}$

Here, the solution given y the quadratic formula is called as roots of quadratic equation. Geometrically, roots are used to give values on the parabola where y crosses the x-axis. If there is some formula whose yield is calculated equal to zero then this is easy to find immediately how many real zeros a particular quadratic equation has.

$\large x=\frac{\sqrt{b^{2}-4ac} -b }{2a}$