Answer
$I$
Work Step by Step
Any function with $x$ raised to the second power is a quadratic function. Let's check each answer option to find the one that is not a quadratic function.
Option $F$:
Use the FOIL method to distribute terms:
$y = x^2 - 2x - x + 2$
Simplify by combining like terms:
$y = x^2 - 3x + 2$
Option $F$ is a quadratic function.
Option $G$ is a quadratic function.
Option $H$ is a quadratic function.
Option $I$:
Use the FOIL method to distribute terms:
$y = -x^2 + x^2 - 3x$
Simplify by combining like terms:
$y = -3x$
Option $I$ is NOT a quadratic function because it has no $x^2$ term.