QuadraticsFactoring, the quadratic formula, the discriminant and…9th GradePARABOLA ANATOMYvertexrootrootaxis of symmetryy = ax² + bx + ca > 0 → opens up · a < 0 → opens downAxis of symmetry: x = −b / 2ay-intercept is c. Roots are where y = 0.Roots, zeros, solutions and x-intercepts all mean the same thing.SOLVE BY FACTORING — try this firstx² + 7x + 12 = 0 → (x + 3)(x + 4) = 0 → x = −3 or −4Find two numbers that multiply to c and add to b. Here: 3 × 4 = 12 and 3 + 4 = 7.Zero product property: if two things multiply to zero, one of them must be zero.THE QUADRATIC FORMULA — always worksx = ( −b ± √(b² − 4ac) ) / 2aWrite a, b and c down first, with their signs. Most errors are a lost minus sign.x² + 7x + 12: a = 1, b = 7, c = 12.THE DISCRIMINANT b² − 4acpositive → 2 real rootszero → 1 repeated rootnegative → noneCheck it before you factor — it tells you whether factoring will work at all.Quadraticswww.littleactivity.com

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Math · 9th Grade

Quadratics

Factoring, the quadratic formula, the discriminant and parabola anatomy.

How to use it

The summary sheet for the quadratic posters in this set.

Free · print-ready PDF · US Letter and A4

Grade
9th Grade
Ages
14–15
Subject
Math
Pages
1

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