Which equation is represented by the table?

Step-by-step explanation:

The table shows values of for different values of .

Let us test each equation with the values given in the table.

Equation 1:

For = 1, we get,

So, we got 1 for . But as per table, value of should be -5.

So, equation 1 is incorrect.

Equation 2:

For = 1, we get,

So, we got -5 for . It matches with the value of table.

Let us check for another value of in order to confirm.

For , we get,

So, we got -4 for . It matches with the value of table.

So, equation 2 is the correct answer.

We can be completely sure by checking the remaining equations too.

Equation 3:

For = 1, we get,

So, we got -1 for . But as per table, value of should be -5.

So, equation 3 is incorrect.

Equation 4:

For = 1, we get,

So, we got -7 for . But as per table, value of should be -5.

So, equation 4 is incorrect.