Question

Hey, I’m new to this app i download the app today, and i hope if is there people who can help me with this question in the picture above!!

Answer 1

Step-by-step explanation:

For a quadratic equation, the second differences will always be the same.

First, we must calculate the first differences between the output, or the y values. This can be calculated as shown, taking the first value and subtracting the second value from that (e.g. 34 - 17 = 17, and 1-2 = -1):

34    17     6      1    2    9     22

\       /  \   /  \    /  \  / \   /   \   /

  17       11       5    -1     -7       -13

The second differences are the differences between the differences we just calculated. This can be calculated as shown:

17   11    5   -1   -7  - 13

\     / \   /  \  / \  / \      /

  6    6     6   6  6

The second differences are all 6, and as a result, we can verify that this is a quadratic relation