A simple parabola with its vertex at the origin and its curve opening upward can be expressed with this equation:

y = x^{2}

A more complicated equation for a parabola would look like this:

y = a(x - h)^{2} + k

Where:

is the*a*.*vertical scaling factor*is the*h*.*horizontal translation*is the*k*.*vertical translation*

This version for the equation of a parabola is often said to be in
** 'standard form'**.

Here is EZ Graph with both of those functions preloaded (click 'Draw graph'):

Related:

Polynomial Function of the Second Degree