YEAR 9 · QUADRATICS AND PARABOLAS

Topic review.

Connect the key ideas, then choose a practice paper.

01 / QUICK RECAP

Connect the ideas.

Expand every term pair, then collect like terms.
For $x^{2} + b x + c$ , factor numbers must add to $b$ and multiply to $c$ .
Use the zero-product principle only after making one side zero.
Connect roots with $x$ -intercepts; use symmetry and substitution for the turning point.
Use tables and graphing checks to interpret transformations and approximate roots.
Check practical domains, units and assumptions before accepting a root.

02 / PRACTICE TESTS

Choose a paper and show your working.

Quadratics and Parabolas — Practice 1
Balanced expansion, factorisation, equations and graph features.
16 questions · 44 marks · 60 minutes · Scientific calculator
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Quadratics and Parabolas — Practice 2
A second paper combining tables, graph sketches and explanation.
16 questions · 47 marks · 60 minutes · Scientific calculator
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Quadratics and Parabolas — Applications
Applications using area, financial models, domains and model checks.
16 questions · 47 marks · 60 minutes · Scientific calculator
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Curriculum reference & lesson scope

Australian Curriculum v9 / SA Curriculum Mathematics

AC9M9A02, AC9M9A04–A06: monic quadratic expressions, integer-root equations, graphs and models.