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 for the reverse skill (forming the vertex-form equation from a graph) -- CorbettMaths, Dr Austin Maths and nzmaths.co.nz cover only sketching a parabola from its vertex-form equation or completing the square
Terminology
- vertex form
- vertex
- scale factor
- y-intercept
- x-intercept
- axis of symmetry
Task goals
- Read the vertex (h, k) from a graph and write y = a(x - h)^2 + k with the sign of h flipped inside the bracket and k kept as it is.
- Substitute the y-intercept or another marked point on the curve (never the vertex) to find the scale factor a.
- Write the finished vertex-form equation and check it against the graph (opening direction and the marked point).
- Expand the finished equation to standard form y = ax^2 + bx + c, or find the x-intercepts from it when they are integers.
- Reason about the sign and size of a, including parabolas with no x-intercepts and parabolas that share the same vertex.
For teachers
Need the fuller teaching notes for this objective? Open the Teacher guidance PDF.