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 at a = +-1 (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
- y-intercept
- x-intercept
- opens upward
- opens downward
Task goals
- Read the vertex (h, k) from a graph and write (x - h)^2 + k with the sign of h flipped inside the bracket and k kept as it is.
- Decide from the direction the curve opens whether a = 1 or a = -1, and write the minus in front of the squared bracket for a downward parabola.
- Check the finished equation with the y-intercept: h^2 with the sign in front, plus k, must match the graph.
- Choose between two candidate equations for one graph, or find and correct a sign error, using the direction and the y-intercept check.
- Expand the finished equation to standard form y = ax^2 + bx + c, or find the x-intercepts from it when they are integers, and explain why some parabolas have none.
For teachers
Need the fuller teaching notes for this objective? Open the Teacher guidance PDF.