Which quadratic function is represented by the table?

Since we know that the function of the table is a quadratic function, we can start writing this function as follows:

Given that we have three variables , we can solve this problem by taking three points, say:

So these points must satisfy the equation of the function. Therefore:

So we have two equations to solve for a and b:

So the quadratic function represented by the table is:

step-by-step explanation:

step-by-step explanation:

first, eliminate the parenthesis:

3

x

+

2

−

4

x

second, group like terms:

3

x

−

4

x

+

2

third, combine like terms:

(

3

−

4

)

x

+

2

→

−

1

x

+

2

→

−

x

+

2