Interpreting tables of values

In grade 10 we are investigating tables of values, and how to determine the equation of a parabola given the table.

We are getting much better at calculating first and second differences.  Parabolas have constant second differences.  

We know that the “a” value is always half of the second difference, the “c” value is always the 6 value corresponding to an x value of 0, and then by substituting a different point for “x” and “y” along with “a” and “c” we can calculate the “b” value for y=ax^2+bx+c

Wih practice we are getting a lot better!