Question

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

Answer 1

The answer is f(x)=x^2+2x-5
A quadratic formula must have at least one square (x^2) and cannot have higher exponents.
The reason 0x^2 doesn't count is because that will always equal zero no matter the value of x, which makes that term a constant.

Answer 2

Answer: The correct answer is $f(x)=x^2+2x-5$

Step-by-step explanation:

A Quadratic equation is defined as the equation in which the highest power of the variable is 2. The general form of this equation represents:

$ax^2+bx+c=0$

where, $a\neq 0$

From the given options:

1. $f(x)=-8x^3-16x^2-4x$: Here, the highest power of the variable is 3. Therefore, it is not a quadratic equation.

2. $f(x)=x^2+2x-5$: Here, the highest power of the variable is 2. Therefore, it is a quadratic equation.

3. $f(x)=+1$: Here, the highest power of the variable is 0. Therefore, it is not a quadratic equation.

4. $f(x)=0x^2-9x+7$: Here, the highest power of the variable is 1. Therefore, it is not a quadratic equation.

Hence, the correct answer is $f(x)=x^2+2x-5$