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Further Pure Mathematics 4PM1/02 January 2023

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1. Quadratic Equations—completing the square, solving using the quadratic formula, sketching parabolas, interpreting roots 2. Simultaneous Equations—solving linear-quadratic systems algebraically and graphically 3. Functions and Graphs—function notation, inverse functions, composite functions, domain and range 4. Transformations—reflection, translation, scaling of graphs using function transformations (e.g., f(x ± a), af(x), f(ax)) 5. Inequalities and Graphical Methods—shading regions, solving inequalities graphically 6. Coordinate Geometry—gradients, equations of lines, points of intersection with axes
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