Te reo Māori terms
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Learning objective overview
Master Teaching Guide coverage for this objective.
Current NZC (2007)
NA5-9
New NZC (2026)
NZC26-P4-ALG-ER-P-Y10-03
Resources
- Other: Not in Beta Textbook; no verified external resource found for the reverse skill (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
- scale factor
- y-intercept
- vertex
Task goals
- Read both x-intercepts from a graph and write the brackets of y = a(x - r1)(x - r2) with the correct (flipped) signs.
- Substitute the y-intercept or another marked point on the curve to find the scale factor a.
- Write the finished x-intercept-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 vertex from it.
- Reason about the sign and size of a, including repeated roots y = a(x - r)^2 and parabolas that share the same intercepts.
Where this fits
What leads into this objective, and where it goes next.
Before
Sketching a parabola from factorised form (a=1)
Solving quadratics
Solving Quadratic Equations by Factorising (Null Factor Law)
You are here
Forming parabola equations: x-intercept form
Next
Year 10 is the last year of this phase — the curriculum lists nothing after this. No extension resources on the site yet.
Also under NA5-9:
For teachers
Need the fuller teaching notes for this objective? Open the Teacher guidance PDF.