Support · Mathematics Advanced 11–12 – Year 11 · Working with functions
Support Choose and apply appropriate techniques to graph a parabola of the form y = ax² + bx + c by identifying its x -intercepts if they exist, its y -intercept, its axis of symmetry using x = - b/(2a) and its vertex
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
Identify and describe the key features of parabolas of the form y = (kx)² and y = (kx)² + c including the vertex, x- and y-intercepts, axis of symmetry and concavity
Stage 5 · Non-linear relationships B Draft mapping
No checked resources on this prerequisite dot point yet.
Determine the equation of the axis of symmetry of a parabola using either the formula x = - b/(2a) or the midpoint of the x-intercepts
Stage 5 · Non-linear relationships C (Path) Draft mapping
- WorksheetDrillKuta free worksheet: Properties of parabolasUse it for: Printable skills-practice sheet with answer key on properties of parabolas; good for drill or homework.
- VideoStarterCorbettmaths video: Quadratic graphs: line of symmetryUse it for: Short worked-example video on quadratic graphs: line of symmetry to model the method before practice or for flipped revision.
Find x- and y-intercepts algebraically, where appropriate, for the graph of y = (ax)² + bx + c, given a,b and c
Stage 5 · Non-linear relationships C (Path) Draft mapping
- Interactive toolStarterMaths Is Fun: Graphing quadratic equationsUse it for: How to sketch parabolas from intercepts and vertex.