# How do I find the x-intercepts of a parabola?

Oct 25, 2014

Since the equation for a parabola describe a quadratic function

$y = a {x}^{2} + b x + c$,

where $a$, $b$, and $c$ are any real numbers such that $a \ne 0$,

we can find the x-intercepts by solving the quadratic equation

$a {x}^{2} + b x + c = 0$.

One way to do that, we can use the quadratic formula

$x = \frac{- b \pm \sqrt{{b}^{2} - 4 a c}}{2 a}$.

I hope that this was helpful.