Which represents a quadratic function?

A) f (x) = - 8x3 - 16x2 - 4x

B) f (x) = x 2 + 2x - 5

C) f (x) = + 1

D) f (x) = 0x2 - 9x + 7

B. x^2 + 2x-5 is a square and basically a quadratic function

B) f (x) = x² + 2x - 5 is quadratic function.

Step-by-step explanation:

Given : Functions.

To find : Which represents a quadratic function.

Solution : We have given functions.

Quadratic function in form of ax² + bx + c = 0 which has degree 2.

Then we can see f (x) = x² + 2x - 5 inform of quadratic function.

Where, a = 1, b = 2, c = - 5.

Option D also has degree 2 but its coefficient of x² is 0. so, we will not consider it.

Therefore, B) f (x) = x² + 2x - 5 is quadratic function.