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# Peer Tutoring Poster - 3.1 Quadratic Relations(pg 246 260...

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3.1 Quadratic Relations (pg. 246 – 260) ● Quadratics are second degree relationships (x^2) that sometimes help model a non linear relation (such as a Speed VS Time graph modeling a baseball in freefall). ● How do we know if a relation is quadratic or not? – We check if the second differences of the dependent variable (y value) are constant. For example: X 0 1 2 3 4 Y 2 3 6 11 18 First Diff. 1 3 5 7 Second Diff. 2 2 2 ● A linear relationship models a phenomenon where the rate of change is constant. A non-linear relation models a phenomenon with a variable rate of change. ●The degree of a one-variable polynomial is the highest exponent that appear in any term of the expanded form of a polynomial. Eg. Y=x+6 - x^1 (degree 1 / linear) Y=x^2-6 - x^2 (degree 2 / quadratic) Y=x^3-6 - x^3 (degree 3 / cubic) Y=x^4-6 - x^4 (degree 4 / quadric) 3.2 Properties of Quadratic Equations (pg. 261 – 269) ● The graph of a second degree function is called a parabola. ● The

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## This note was uploaded on 02/10/2011 for the course ICE 4M1 taught by Professor Deabr during the Spring '11 term at Spring Arbor University.

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Peer Tutoring Poster - 3.1 Quadratic Relations(pg 246 260...

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