Algebra 2 Common Core

Published by Prentice Hall
ISBN 10: 0133186024
ISBN 13: 978-0-13318-602-4

Chapter 4 - Quadratic Functions and Equations - 4-3 Modeling With Quadratic Functions - Practice and Problem-Solving Exercises - Page 214: 30

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.
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