1. Gallery of Graphs

Covers quadratic and reciprocal functions, their algebraic manipulation, and graphical interpretations.

• Expanding and completing the square for quadratics

• Solving quadratics using factorisation, the quadratic formula, and discriminants

• Understanding parabolas: axis of symmetry, turning point, and intercepts

• Sketching in intercept and turning point form

• Solving quadratic inequalities

• Graphs of hidden quadratics

• Introduction to reciprocal graphs: hyperbolas and trunci

• Graphing square root functions