General Form of Quadratic Function

General Form of Quadratic Function
General form of a quadratic function is f(x)=a x 2 +bx+c where a, b, and c are constants and a ≠ 0, and x as a variable.
Example:
Determine which of the following is a quadratic function.

  1. f(x)=(5x3)(3x+8)
  2. f(x)=2(3x+8)
  3. f(x)= 5 2 x 2
Answer:
(a)
  f(x)=(5x3)(3x+8) f(x)=15 x 2 +40x9x24 f(x)=15 x 2 +31x24

Quadratic function
(b)
f(x)=2(3x+8) f(x)=6x+16
Not quadratic function

(c) Not quadratic function