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Mathematics Advanced 11–12 – Year 11 · Graph transformations · · Topic: Non-linear relationships & functions · Year 11

Establish using graphing applications that replacing x by x - a in the equation of a graph corresponds to a horizontal translation of a graph by a, that replacing y by y - b corresponds to a vertical translation by b, and recognise that the sign of a and b determines the direction of the translation

Dot point ID advanced-year-11-graph-transformations/dp-cdc1e538 · See it on the NSW Curriculum website ↗

↩SupportBuild the prerequisite skills first · 7 resources ★EnrichExtension & rich tasks · 0 resources

Outcomes for this focus area (MAV-11-03)

MAV-11-03 analyses and solves algebraic and graphical problems involving transformations of functions and relations

Core resources for this dot point

On-level resources, grouped by type. Need the building blocks? Use Support. Ready for more? Use Enrich.

Interactive tool

Interactive toolStarter Enrichment
Desmos Graphing Calculator
Desmos · Interactive (browser) · Free · Link checked 2026-10-15 · No prep
Use it for: Graph lines, parabolas and exponentials live; find intersections to solve simultaneous equations.
Also tagged to: Examine the gradient of the tangent to the curve y = a^x at …; Use graphing applications to identify the graphs of y = a^x …; Examine the gradient function of y = a^x with graphing appli…; Establish using graphing applications that replacing x by - … and 82 more
Interactive toolEnrichment
GeoGebra Classic
GeoGebra · Interactive (browser) · Free · Link checked 2026-10-15 · No prep
Use it for: Dynamic geometry and graphing for constructions and proofs.
Also tagged to: Examine the gradient of the tangent to the curve y = a^x at …; Use graphing applications to identify the graphs of y = a^x …; Examine the gradient function of y = a^x with graphing appli…; Establish using graphing applications that replacing x by - … and 84 more