Which represents a quadratic function?

f(x) = −8x3 − 16x2 − 4x

f (x) = three-quarters x 2 + 2x − 5

f(x) = startfraction 4 over x squared endfraction minus startfraction 2 over x endfraction + 1

f(x) = 0x2 − 9x + 7

Option 2 is the correct answer

Step-by-step explanation:

A quadratic function is a function in which the highest power to which the variable is raised is 2

1) f(x) = −8x3 − 16x2 − 4x

The given function is a cubic function because the highest power

to which the variable,x is raised is 3

2) f(x) = 3x²/4 + 2x - 5

The given function is a quadratic function because the highest power

to which the variable,x is raised is 2

3) f(x) = 4/x² - 2/x + 1

It can be rewritten as

f(x) = 4x^-2 - 2x^-1 + 1

The given function is not a quadratic function because the highest power to which the variable,x is raised is - 2

4) f(x) = 0x2 − 9x + 7

It can be rewritten as

f(x) = - 9x + 7

The given function is not a quadratic function because the highest power to which the variable,x is raised is 1

The answer to your question is the second option

Step-by-step explanation:

A Quadratic function is a polynomial of degree two. That means that the higher exponent is 2.

a) This option is incorrect because the highest power is 3 not two.

b) This option is the right answer, the highest power is 2, so, it is a quadratic function.

c) This option is incorrect, the highest power is -2.

d) This option is incorrect, the highest option is 1.

answer with step-by-step explanation:

a. ∠j is supplementary to ∠k - true:

(opposite angles of a trapezoid are supplementary which means that they add up to 180 degrees)

b. kl is parallel to jm - true:

(opposite sides are parallel to each other in a trapezoid)

c. jk is perpendicular to kl - false:

(clearly, jk does not make a right angle with kl)

d. jk is parallel to lm - false:

(jk and lm are two lines opposite in direction to each other so they cannot be parallel)

e. ∠j is congruent to ∠m - true:

(the angles on each side of the base are congruent)

f. ∠j is congruent to ∠k - false:

(the angles on the same side but opposite side of the base are not congruent)