Support · Mathematics Advanced 11–12 – Year 11 · Working with functions
Support Find the equation of a parabola given sufficient graphical features
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.
Prerequisite dot points
Use graphing applications to compare parabolas of the form y = (kx)², y = (kx)² + c,y = k(x - b)² and y = k(x - b)² + c, and describe their features and transformations
Stage 5 · Non-linear relationships C (Path) Draft mapping
- Desmos Graphing CalculatorUse it for: Graph lines, parabolas and exponentials live; find intersections to solve simultaneous equations.
- Interactive toolEnrichmentGeoGebra ClassicUse it for: Dynamic geometry and graphing for constructions and proofs.
- PhET Graphing QuadraticsUse it for: See how coefficients change a parabola and locate the vertex.
Graph quadratic relationships of the form y = (ax)² + bx + c by identifying and applying features of parabolas and their equations without graphing software
Stage 5 · Non-linear relationships C (Path) Draft mapping
- Desmos Graphing CalculatorUse it for: Graph lines, parabolas and exponentials live; find intersections to solve simultaneous equations.
- Interactive toolEnrichmentGeoGebra ClassicUse it for: Dynamic geometry and graphing for constructions and proofs.
- Interactive toolStarterMaths Is Fun: Graphing quadratic equationsUse it for: How to sketch parabolas from intercepts and vertex.
- VideoStarterCorbettmaths video: Quadratic graphs: sketching using key pointsUse it for: Short worked-example video on quadratic graphs: sketching using key points to model the method before practice or for flipped revision.
Use graphing applications to graph and compare functions of the form y = f(x),y = f(x) + c, y = f(x - b), y = kf(x) and y = f(ax), and describe their transformations
Stage 5 · Functions and other graphs (Path) Draft mapping
- Desmos Graphing CalculatorUse it for: Graph lines, parabolas and exponentials live; find intersections to solve simultaneous equations.
- Interactive toolEnrichmentGeoGebra ClassicUse it for: Dynamic geometry and graphing for constructions and proofs.