Gallery of Graphs in Mathematical Methods VCE

This topic explores different types of functions and their graphical representations, focusing on transformations, key features, and applications.

Content Covered

• Linear functions: Gradient, intercepts, and domain/range

• Quadratic functions: Turning points, symmetry, and factorization

• Cubic and quartic functions: Inflection points and intercept forms

• Hyperbolas and truncus: Asymptotes and transformations

• Square root and cube root functions: Domain restrictions and reflections

• Circles: Equation forms and graphical properties

Main Topics Assessed

• Identifying function types based on equations

• Sketching graphs with transformations (dilations, reflections, translations)

• Finding intercepts, asymptotes, and turning points

• Applying algebraic techniques to analyze graphs