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Support · Mathematics Standard 11–12 – Year 12 – Standard 2 · Algebraic relationships

Support Determine the axis of symmetry and vertex of a parabola using the midpoint of the x -intercepts shown on a graph

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

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

  • WorksheetDrill
    Kuta free worksheet: Properties of parabolas
    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 properties of parabolas; good for drill or homework.
  • VideoStarter
    Corbettmaths video: Quadratic graphs: line of symmetry
    Corbettmaths · Video · Free · Link checked 2026-10-15 · No prep
    Use it for: Short worked-example video on quadratic graphs: line of symmetry to model the method before practice or for flipped revision.

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.

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