Question

Choose the function that represents the data in the table.

y= 3x + 2
y= 3x2 + 2
y=+2
y= 3* + 2

Answer 1

B. y = 3x2 + 2

Explanation:

just go it correct on edge

Answer 2

Given:

The table in the data represents the quadratic function.

We need to determine the equation of the function.

The general form of the quadratic equation is
`y=ax^2+bx+c`

Let us substitute the three coordinates (1,5), (2,14) and (3,29) in the general form.

Thus, we have;

`5=a+b+c` ------ (1)

`14=4a+2b+c` ------ (2)

`29=9a+3b+c` ------(3)

Subtracting (2) from (1), we get;

`9=3a+b` --------- (4)

Subtracting (3) from (2), we get;

`15=5a+b` -------- (5)

Subtracting (5) from (4), we have;

`6=2a`

`3=a`

Thus, the value of a is 3.

Substituting the value of a in equation (4), we get;

`9=3(3)+b`

`9=9+b`

`0=b`

Thus, the value of b is 0.

Substituting a = 3 and b = 0 in equation (1), we get;

`5=3+0+c`

`5=3+c`

`2=c`

Thus, the value of c is 2.

Hence, substituting a = 3, b = 0 and c = 2 in the general form of the quadratic equation
`y=ax^2+bx+c`, we get;

`y=3x^2+0x+2`

`y=3x^2+2`

Therefore, the function that represents the data in the table is
`y=3x^2+2`

Hence, Option B is the correct answer.