Question

Determine if the following table represents a quadratic function.

x 1 2
3 4 5
y 13 22 37 58 85
(1 point)​

Answer 1

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Explanation:

Given

x:- 1 || 2 || 3 || 4 || 5

y:- 13 || 22 || 37 || 58 || 85

Required

Determine if the function is quadratic

Calculate the difference between the values of y

`Difference = 22 - 13 = 9`

`Difference = 37 - 22 = 15`

`Difference = 58 - 37 = 21`

`Difference = 85 - 58 = 27`

The resulting difference are: 9 || 15 || 21 || 27

Next; Calculate the difference between the difference of values of y

`Difference = 15 - 9 = 6`

`Difference = 21 - 15 = 6`

`Difference = 27 - 21 = 6`

The resulting difference are: 6 || 6 || 6

For the function to be quadratic, the above difference must be the same and since they are the same (6), then the function represents a quadratic function.