Question

Please help me with this math problem

Answer 1

Answer:

The table is a quadratic function

Step-by-step explanation:

Given

The attached table

Required

Tell if it is a quadratic function

The difference in the x values are uniform (i.e. difference of 1), so the following method can be applied.

(1) Subtract adjacent y values.

$d_1=2 - 16 = -14$

$d_2=-2 - 2 = -4$

$d_3 = 4--2 = 6$

$d_4 = 20 - 4 = 16$

(2) Subtract adjacent differences in (1) above

$d_5 = d_2 - d_1 = -4 --14 = 10$

$d_6 = d_3 - d_2 = 6 --4 = 10$

$d_7 = d_4 - d_3 = 16 -6 = 10$

Notice the calculated differences in (2) are the same.

Hence, the table is a quadratic function