Question

Which represents a quadratic functionWhich represents a quadratic function? f(x) = 2x3 + 2x2 – 4 f(x) = –7x2 – x + 2 f(x) = –3x + 2 f(x) = 0x2 + 3x – 3

Answer 1

`f(x) = -7x^2 -x +2` represents a quadratic function.

Explanation:

A polynomial of degree two is called quadratic function,

Also, degree of polynomial is the highest power of its monomial ( individual term with non zero coefficient ),

Since,
`f(x) = 2x^3 + 2x^2 -4` has degree 3,

⇒
`f(x) = 2x^3 + 2x^2 -4` is not a quadratic function,

`f(x) = -7x^2 -x +2` has degree 2,

⇒
`f(x) = -7x^2 -x +2` is a quadratic function,

`f(x) = -3x+2` has degree 1,

⇒
`f(x) = -3x+2` is not a quadratic function,

`f(x) = 0x^2 + 3x -3` has degree 1,

⇒
`f(x) = 0x^2 + 3x -3` is not a quadratic function,