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.
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.