EZ Graph - Parabola, Standard Form

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

y = x²

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

y = a(x - h)² + k

Where:

• a is the vertical scaling factor.
• h is the horizontal translation.
• k is the 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:

EZ Graph

EZ Graph Help

Polynomial Function of the Second Degree

Function Transformations

Conic Sections - Parabola