Question

which 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

Hello,

A: f(x)=2x^3+2x^2-4 no :degree 3

B: f(x)=-7x²-x²=-8x² Yes.

C: f(x)=-3x+2 no linear

D: 0x²+3x-3=3x-3 no linear

Answer B

Answer 2

The options $f(x) = -7x2- x^2=-8x^2$ and $f(x) = -3x^2$ represent a quadratic function.

Quadratic function

The quadratic function can be represented by a quadratic equation in the Standard form: $ax^2+bx+c$, where a,b and c are your respective coefficients. In the quadratic function the coefficient "a" must be different than zero ($a\neq 0$) and the degree the function must be equal to 2.

Therefore for solving this question, you should select the equation that presents the standard form for a quadratic function, or the degree to the function must be equal to 2.

       1. Option 1

1. $f(x) = 2x^3+ 2x^2-4$ - The
2. degree of the function
3. is
4. not 2
5. . This function presents degree 3. It is a
6. cubic function
7. because your degree is equal to 3.

      2. Option 2

       $f(x) = -7x2- x^2=-8x^2$ - Although the equation is not in the standard form, we have the coefficient $a\neq 0$ and degree 2. It is a quadratic function.

      3. Option 3

      $f(x) = -3x^2$ - Although the equation is not in the standard form, we have the coefficient $a\neq 0$ and degree 2. It is a quadratic function.

     4. Option 4

      $f(x) = 0x^2+3x-3$ - The equation presents the coefficient a=0, also your degree is 1. It is a linear function because your degree is equal to 1.

The options $f(x) = -7x2- x^2=-8x^2$ and $f(x) = -3x^2$ represent a quadratic function.

Read more about a quadratic function here:

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