Support · Mathematics Advanced 11–12 – Year 11 · Graph transformations
Support Establish using graphing applications that replacing x by - x in the equation of a graph corresponds to the reflection of the graph in the y -axis, and that replacing y by - y corresponds to a reflection in the x -axis
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 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.
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
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.
Determine and plot the coordinates for P' resulting from reflecting P in either the x - or y -axis
Stage 5 · Linear relationships C (Path) Draft mapping
- Interactive toolStarterMathigon: Rigid transformationsUse it for: Drag-and-drop translations, reflections and rotations on the plane.
- Corbettmaths practice questions: ReflectionsUse it for: Free printable graded practice questions (with answers) on reflections for drill or a quick check.
- WorksheetDrillKuta free worksheet: ReflectionsUse it for: Printable skills-practice sheet with answer key on reflections; good for drill or homework.
- WorksheetDrillKuta free worksheet: Reflections of shapesUse it for: Printable skills-practice sheet with answer key on reflections of shapes; good for drill or homework.
- VideoStarterCorbettmaths video: ReflectionsUse it for: Short worked-example video on reflections to model the method before practice or for flipped revision.