Transformations in Mathematical Methods VCE

This topic explores how functions are altered through translations, dilations, and reflections, helping to understand their graphical behavior.

Content Covered

• Translations: Shifting graphs left, right, up, or down

• Dilations: Stretching or compressing graphs from the x-axis or y-axis

• Reflections: Flipping graphs across the x-axis, y-axis, or line y = x

• Composite transformations: Applying multiple transformations in sequence

• Finding transformed equations: Adjusting function rules based on transformations

Main Topics Assessed

• Identifying and applying transformations to functions

• Sketching transformed graphs accurately

• Writing equations for transformed functions

• Solving problems involving composite transformations