Mathematics · GCSE
The Graph and the Algebra Are One Thing
Where on a curve the answer to x² − 2x − 3 = 0 sits, and why that makes the graph a way of checking. Expressions, equations and identities; factorising, rearranging and simultaneous equations; a quadratic read both ways, roots to vertex; indices, inequalities and quadratic sequences with a second-difference figure; the three results you must know unprompted; a quadratic solved by factorising and checked on its graph. Eleven terms to define, a model answer on a perpendicular line, and the misconceptions that cost marks.

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