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# What is the quadratic function formula?

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## Related Questions

###### Asked in The Difference Between

### What is the difference between quadratic function and quadratic formula?

A quadratic function is a function where a variable is raised to
the second degree (2). Examples would be x2, or for more
complexity, 2x2+4x+16.
The quadratic formula is a way of finding the roots of a
quadratic function, or where the parabola crosses the x-axis. There
are many ways of finding roots, but the quadratic formula will
always work for any quadratic function.
In the form ax2+bx+c, the Quadratic Formula looks like this:
x=-b±√b2-4ac
_________
2a
The plus-minus means that there can 2 solutions.

###### Asked in Math and Arithmetic, Algebra

### Why does the discriminant determine the number and type of the solutions for a quadratic equation?

A quadratic equation is wholly defined by its coefficients. The
solutions or roots of the quadratic can, therefore, be determined
by a function of these coefficients - and this function called the
quadratic formula.
Within this function, there is one part that specifically
determines the number and types of solutions it is therefore called
the discriminant: it discriminates between the different types of
solutions.

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