Te reo Māori terms
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Learning objective overview
Master Teaching Guide coverage for this objective.
Current NZC (2007)
NA6-7
New NZC (2026)
NZC26-P4-ALG-ER-P-Y10-03
Resources
- CorbettMaths - Drawing Quadratics Practice QuestionsQuestions PDF · Answers
- Dr Austin Maths - Sketching Quadratic Graphs Practice GridQuestions PDF · Answers
Terminology
- expanded form
- y-intercept
- axis of symmetry
- turning point
- x = -b/(2a)
- nature of the turning point
Task goals
- Foundation: Read the y-intercept directly from an expanded quadratic and substitute x-values to plot points.
- Proficient: Find the axis of symmetry using x = -b/(2a) and substitute back to find the turning point's y-coordinate.
- Excellence: Determine all key features (intercepts, axis of symmetry, turning point, and nature of turning point) from an expanded quadratic and use them to sketch an accurate graph, including cases requiring the quadratic formula for x-intercepts.
Where this fits
What leads into this objective, and where it goes next.
Before
Completing the Square
Solving Equations with Algebraic Fractions (Rational Equations)
Using algebra to find the point of intersection of two lines
You are here
Identifying Key Features of a Parabola from Expanded Form
Do
Solving quadratic equations that are factorised or of the form x^2 + c = 0 (where c is an integer), and connecting the solutions to the x-intercepts of the related graph
Statement▸
Year 10 · Algebra · Equations and relationships
NZC26-P4-ALG-ER-P-Y10-03
Also under NA6-7:
For teachers
Need the fuller teaching notes for this objective? Open the Teacher guidance PDF.