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Algebraic Proof and Functional Analysis · Autumn Term

Quadratic Functions and Equations

Deep dive into quadratic functions, including completing the square, the quadratic formula, and discriminant analysis.

Key Questions

  1. Analyze how the discriminant determines the nature of quadratic roots.
  2. Construct a quadratic equation given its roots or vertex.
  3. Predict the graphical behavior of a quadratic function based on its algebraic form.

National Curriculum Attainment Targets

A-Level: Mathematics - Algebra and Functions
Year: Year 12
Subject: Mathematics
Unit: Algebraic Proof and Functional Analysis
Period: Autumn Term

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