Question

Which function is a quadratic function?p(x) = 2x(x2 6) 1m(x) = –4(x 3) – 2t(x) = –8x2(x2 – 6) 1h(x) = 3x(x – 2) – 4

Answer 1

A quadratic function is a function whose highest power for the variable is 2.
h(x) = 3x(x - 2) - 4 = 3x^2 - 6x - 4 is a quadratic function.

Answer 2

The correct option is 4.

Explanation:

A function is called a quadratic function if the highest degree of the function is 2.

The simplified form of given functions are:

`P(x)=2x(x^2+6)+1=2x^3+12x+1`

The highest degree of the function is 3, therefore P(x) is not a quadratic function.

`m(x)=-4(x+3)-2=-4x-12-2=-4x-14`

The highest degree of the function is 1, therefore m(x) is not a quadratic function.

`t(x)=-8x^2(x^2-6)+1=-8x^4+48x^2+1`

The highest degree of the function is 4, therefore t(x) is not a quadratic function.

`h(x)=3x(x-2)-4=3x^2-6x-4`

The highest degree of the function is 2, therefore h(x) is a quadratic function. Option 4 is correct.