Tables
Tables
Tables
Example 2
Find the equation that models this table in factored form. 
x  | -2  | -1  | 0  | 1  | 2  | 3  | 4  | 
y  | 5  | 2  | 0  | -1  | -1  | 0  | 2  | 
Step 1. Find the second difference.
x  | -2  | -1  | 0  | 1  | 2  | 3  | 4  | 
y  | 5  | 2  | 0  | -1  | -1  | 0  | 2  | 

Step 2. Find the a-value.
The a-value is found by dividing the second difference by 2.
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Step 3 . Find the roots.
The roots of the table are the points where y = 0.
Therefore the roots of this table are (0, 0) and (3, 0). 
Step 4 . Substitute a and the roots into the equation.
