Topic 07Mathematics: Analysis and Approaches

B.2 Quadratic and Rational Functions

Sketching parabolas (vertex, axis of symmetry, intercepts) and converting between general, factored, and vertex forms; solving quadratic equations and inequalities (factoring, completing the square, quadratic formula); the discriminant and the nature of roots; reciprocal y = 1/x and general rational functions (ax + b)/(cx + d) with their asymptotes.