Support · Stage 5 · Non-linear relationships C (Path)

Support Use graphing applications to graph curves of the form y = (kx)ⁿ + c and y = k(x - b)ⁿ where n is an integer and n ≥ 2, and describe the transformations from y = (kx)ⁿ

Resources for the prerequisite content of this dot point: earlier-stage (or earlier sub-level) dot points in the same strand that students usually need first. Use these to fill gaps before or alongside the core lesson.

Prerequisite links are draft mappings generated from the syllabus structure (earlier stage, same strand, closest content). They are being reviewed by teachers. Spot a poor match? Tell us.

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Prerequisite dot points

Graph and compare exponential curves of the form y = a^x using graphing applications

Stage 5 · Non-linear relationships B Draft mapping

  • Interactive toolStarterEnrichment
    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.
  • 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.
  • WorksheetDrill
    Kuta free worksheet: Exponential functions and graphs
    Kuta Software · PDF · Printable PDF · Free · Link checked 2026-10-15 · Answers included, No prep, Printable
    Use it for: Printable skills-practice sheet with answer key on exponential functions and graphs; good for drill or homework.

Graph and compare parabolas of the form y = (kx)² and y = (kx)² + c using graphing applications

Stage 5 · Non-linear relationships B Draft mapping

  • Interactive toolStarterEnrichment
    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.
  • 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.
  • PhET Graphing Quadratics
    PhET Interactive Simulations · Interactive (browser) · Free · Link checked 2026-10-15 · Hands-on, No prep
    Use it for: See how coefficients change a parabola and locate the vertex.

Recognise non-linear relationships in real-life contexts and solve related problems

Stage 5 · Non-linear relationships B Draft mapping

No checked resources on this prerequisite dot point yet.