Question

which represents a quadratic function?f(x) = −8x3 − 16x2 − 4xf (x) = x 2 2x − 5f(x) = 1f(x) = 0x2 − 9x 7

Answer 1

The standard form of a quadratic equation is f(x) = ax^2 + bx + c. Looking at the given choices:

A. f(x) = −8x^3 − 16x^2 − 4x
B. f(x) = x^2 + 2x − 5
C. f(x) = 1
D. f(x) = 0x^2 − 9x + 7

Among the choices, the only equation that follows the standard form is B.

Answer 2

Answer:

Option 2 is correct.

Step-by-step explanation:

We have been given three functions:

Quadratic function is the function having degree 2.

Option 1:

$f(x)=-8x^3-16x^2-4x$

Here the highest power or degree of the function is 3

Hence, it is not quadratic.

Option 2:

$f (x)=x^2+2x-5$

Here, the degree of the function is 2.

Hence, quadratic.

Option 3:

f(x)=1

There is no degree since, no variable

Hence, not quadratic.

Option 4:

$f(x)=0x^2-9x^7$

Here, degree of the function is 7

Hence, not quadratic.