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 x-intercept-form equation from a graph) -- CorbettMaths, Dr Austin Maths and nzmaths.co.nz cover only sketching a parabola from its equation
Terminology
- x-intercept form
- x-intercept
- root
- y-intercept
- opens upward
- opens downward
Task goals
- Read both x-intercepts from a graph and write the brackets (x - r1)(x - r2) with the signs flipped.
- Decide from the direction the curve opens whether a = 1 or a = -1, and write the minus in front of the brackets for a downward parabola.
- Check the finished equation with the y-intercept: the product of the two bracket values at x = 0, times the sign in front, 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 vertex from the axis of symmetry when it is an integer.
For teachers
Need the fuller teaching notes for this objective? Open the Teacher guidance PDF.