Question

Which table represents a quadratic function? A 2-column table with 5 rows. The first column is labeled x with entries negative 4, negative 2, 0, 2, 4. The second column is labeled f of x with entries negative 5, negative 2, 1, 4, 7. A 2-column table with 5 rows. The first column is labeled x with entries negative 4, negative 2, 0, 2, 4. The second column is labeled f of x with entries negative 10, negative 6, 2, 6, 10. A 2-column table with 5 rows. The first column is labeled x with entries negative 4, negative 2, 0, 2, 4. The second column is labeled f of x with entries 2, negative 7, negative 10, negative 7, 2. A 2-column table with 5 rows. The first column is labeled x with entries negative 4, negative 2, 0, 2, 4. The second column is labeled f of x with entries 0.5, 1, 2, 4, 8.

Answer 1

It is indeed the third chart, on edge 2021

Explanation:

Answer 2

A 2-column table with 5 rows. The first column is labeled x with entries negative 4, negative 2, 0, 2, 4. The second column is labeled f of x with entries 2, negative 7, negative 10, negative 7, 2.

Explanation:

When the x-values are evenly spaced, as they are here, the y-values will have first differences that have a common difference. That is, the second differences will be constant for a quadratic function.

Here, that property is exhibited by the 3rd table.

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