MATH SOLVE

6 months ago

Q:
# 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

Accepted Solution

A:

Answer:[tex]f(x) = -7x^2 -x +2[/tex] 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, [tex]f(x) = 2x^3 + 2x^2 -4[/tex] has degree 3,⇒ [tex]f(x) = 2x^3 + 2x^2 -4[/tex] is not a quadratic function,[tex]f(x) = -7x^2 -x +2[/tex] has degree 2,⇒ [tex]f(x) = -7x^2 -x +2[/tex] is a quadratic function,[tex]f(x) = -3x+2[/tex] has degree 1,⇒ [tex]f(x) = -3x+2[/tex] is not a quadratic function,[tex]f(x) = 0x^2 + 3x -3[/tex] has degree 1,⇒ [tex]f(x) = 0x^2 + 3x -3[/tex] is not a quadratic function,