Te reo Māori terms
click each term to open in Te Aka
Learning objective overview
Master Teaching Guide coverage for this objective.
Current NZC (2007)
NA6-7
New NZC (2026)
NZC26-P4-ALG-ER-P-Y10-09
Resources
- CorbettMaths - Sketching QuadraticsQuestions PDF · Answers
- CorbettMaths on drawing a parabolaQuestions PDF · Answers
Terminology
- factorised form
- x-intercept
- root
- axis of symmetry
- vertex
- turning point
- y-intercept
- leading coefficient
- stretch
- reflection
Task goals
- Foundation: Identify the x-intercepts and axis of symmetry directly from a factorised-form equation y=a(x-p)(x-q) with a given numeric value of a.
- Proficient: Sketch parabolas in factorised form with a≠1, correctly showing the effect of a on the direction and steepness of the curve alongside accurate intercepts.
- Excellence: Given the x-intercepts of a parabola and one other point on the graph, determine the value of a and write the full factorised equation.
Where this fits
What leads into this objective, and where it goes next.
Before
Forming equations of given straight line graph (using y=mx+c)
Linear Graphs from Algebraic Rules (Table of Values)
Comparing sequences: nth terms, graphs and intersection
You are here
Parabola Factorised Form (a != 1)
Do
Determining the effect on graphs in the coordinate plane of changing the coefficient of x^2 and the fixed value c, for a range of quadratic equations of the form y = ax^2 or y = x^2 + c, where a is a positive integer and c is an integer
Statement▸
Year 10 · Algebra · Equations and relationships
NZC26-P4-ALG-ER-P-Y10-09
Next
Year 10 is the last year of this phase — the curriculum lists nothing after this. Extension resources: Drawing exponential graphs, Reading and forming parabolas in vertex form y = a(x - h)^2 + k where a is not 1.
Also under NA6-7:
For teachers
Need the fuller teaching notes for this objective? Open the Teacher guidance PDF.