Coaching Centre
Chapter 10: Quadratic equations and parabolas Notes
Solving quadratic equations by factorising and the null factor law, worded quadratic problems, features of parabolas, transformations of y = x², and sketching parabolas from intercepts and turning points.
Sections
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10A Solving quadratic equations by factorising Mastered
The null factor law, solving ax² + bx = 0, x² − d = 0, monic and non-monic trinomial equations, and rearranging to equal zero first.
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10B Solving problems with quadratics Mastered
Writing quadratic equations from area, number and motion problems, solving them and rejecting solutions that do not make sense.
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10C The parabola Mastered
Features of a parabola: concavity, turning point, axis of symmetry and intercepts, and reading them from a graph or equation.
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10D Transformations of parabolas Mastered
Dilations y = ax², reflections y = −x², vertical and horizontal translations, turning point form y = a(x − h)² + k, and sketching from it.
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10E Sketching parabolas Mastered
Sketching parabolas from intercept form y = (x − a)(x − b) and from y = x² + bx + c by finding intercepts, the axis of symmetry and the turning point.