Quadratic graphs and solutions
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Log in to continueFind points on parabolas and solve integer-root quadratic equations using factorisation.
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Solve x² + 0x − 1 = 0.
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Answer: x = -1 or 1
- Factorise to (x − (-1))(x − 1) = 0.
- By the null factor law, at least one factor is zero.
- The solutions are -1 and 1.
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Curriculum reference
Victorian Curriculum F–10 Version 2.0
Pi Leo practice scope
Find points on parabolas and solve integer-root quadratic equations using factorisation.
Read the official VCAA curriculum description (VC2M9A05)
These quizzes practise concepts within this topic. Multiple-choice answers alone do not demonstrate drawing, conducting an investigation or using a digital tool.
Activities to practise beyond the quiz
- Supported by the guided activity; selecting an MCQ does not demonstrate this action.
- Supported by the guided activity; selecting an MCQ does not demonstrate this action.
- VC2M9A05-C01Apply the null factor law to monic quadratics.
- VC2M9A05-C02Graph and solve quadratic equations using digital tools.
- VC2M9A05-C03Substitute x-values to obtain points on a quadratic graph.
- VC2M9A05-C04Approximate non-integer quadratic roots graphically or numerically.
- VC2M9A05-C05Apply and explain quadratic graphs and solutions using calculate and explain each step.
- VC2M9A05-C06Apply and explain quadratic graphs and solutions using read and connect representations.
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Subskills
These practice subskills map to the curriculum topic. Guided activities cover skills beyond multiple-choice questions.
Descriptor-derived subskills
- D01Solve from zero productsApply the null factor law to monic quadratics.
- D02Build a parabola from coordinatesSubstitute x-values to obtain points on a quadratic graph.
- D03Calculate and explain each stepApply and explain quadratic graphs and solutions using calculate and explain each step.
- D04Read and connect representationsApply and explain quadratic graphs and solutions using read and connect representations.