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

Answer:

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

Step-by-step 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,