Te reo Māori terms
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Learning objective overview
Master Teaching Guide coverage for this objective.
Current NZC (2007)
- No direct alignment recorded
New NZC (2026)
- No direct alignment recorded
Resources
- Other: Not in Beta Textbook; no verified external resource found matching this exact restriction (sketching vertex-form parabolas with a = +-1 only) -- CorbettMaths, Dr Austin Maths and nzmaths.co.nz cover sketching parabolas from vertex form generally but not with a restricted to +-1 as a dedicated beginner step.
Terminology
- vertex form
- vertex
- opens upward
- opens downward
- axis of symmetry
- y-intercept
Task goals
- Plot the vertex (h, k) on the grid, reading h and k straight from y = a(x - h)^2 + k.
- Decide from the sign of a whether the parabola opens upward (a = 1) or downward (a = -1).
- Step out the y = x^2 shape from the vertex: across 1 up/down 1, across 2 up/down 4, drawing a smooth curve through the stepped points.
- Check the sketch with the y-intercept: substitute x = 0, square the bracket value, apply the sign in front, add k, and confirm the curve passes through that point.
- Spot and correct sketching errors (a mis-flipped vertex, a missing sign in front), match an equation to its sketch, sketch two parabolas sharing a vertex with opposite a, and explain from the vertex and direction why a parabola has no x-intercepts.
For teachers
Need the fuller teaching notes for this objective? Open the Teacher guidance PDF.