Tables
Tables
Example 1
Find the equation that models this table in standard form.
x |
-2 |
-1 |
0 |
1 |
2 |
3 |
4 |
y |
12 |
9 |
7 |
6 |
6 |
7 |
9 |
Step 1. Find the second difference.
x |
-2 |
-1 |
0 |
1 |
2 |
3 |
4 |
y |
12 |
9 |
7 |
6 |
6 |
7 |
9 |
Step 2. Find the a-value.
The a-value is found by dividing the second difference by 2.
Step 3. Find the c-value.
The c-value is the constant, or the point where y = 0.
In this table, c = 7.
Step 4. Find the b-value.
Substitute a and c into the equation and solve for b.
Step 5. Substitute a, b and c into the equation.