Question

Fox2110Which quadratic function is represented by the table?o f(x) -3x2 2x 5f(x) 2x2 -2x 5

Answer 1

B) f(x) = 3x^2 -2x + 5

Answer 2

`3x^(2)-2x+5`

Explanation:

The value for each value of x is given by f(x) in the table, the quadratic equation which satisfies all the values f(x) at each value of x is given by:

`3x^(2)-2x+5`.

This can be found by substituting all the values of x in the equation and check whether it satisfies the corresponding value f(x) or not.

Therefore, substituting x=-2 in the quadratic equation
`3x^(2)-2x+5`,

`3(-2)^(2)-2(-2)+5`

`3(4)+4+5`

=
`21`

Again, substituting x=-1 in the same equation, we have

`3(-1)^(2)-2(-1)+5`

`3+2+5`

=
`10`

Putting x=0,

`3(0)^(2)-2(0)+5`

=
`5`

Putting x=1,

`3(1)^(2)-2(1)+5`

=
`6`

Putting x=2,

`3(2)^(2)-2(2)+5`

=13

Hence, the quadratic equation which is represented by the table is
`3x^(2)-2x+5`