Support · Mathematics Advanced 11–12 – Year 11 · Graph transformations
Support 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
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.
Graph vertical and horizontal lines
Stage 5 · Linear relationships A Draft mapping
- Desmos Classroom: Marbleslides (Lines)Use it for: Students adjust line equations and domains so marbles hit stars.
- PhET Graphing LinesUse it for: Explore gradient and intercept; the Line Game screen gives quick practice.
- Corbettmaths practice questions: Linear graphs: drawing (xy table)Use it for: Free printable graded practice questions (with answers) on linear graphs: drawing (xy table) for drill or a quick check.
- VideoStarterCorbettmaths video: Linear graphs: x=a graphsUse it for: Short worked-example video on linear graphs: x=a graphs to model the method before practice or for flipped revision.
- VideoStarterCorbettmaths video: Linear graphs: y=a graphsUse it for: Short worked-example video on linear graphs: y=a graphs to model the method before practice or for flipped revision.
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.