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Paper 2 & 3
Quadratics
Higher
Quadratic graphs are parabolas.
Key Facts
- Roots solve ax^2 + bx + c = 0.
- Discriminant shows number of roots.
Topics Covered
Factorising Quadratics
What you need to know
- •Find two numbers that multiply to c and add to b.
Exam Tips
- Check by expanding back.
Quadratic Graphs
What you need to know
- •Turning point is the vertex.
- •Roots are x-intercepts.
Exam Tips
- Use completing the square to find vertex.
Key Terms
Roots
The x-values where the graph crosses the x-axis.
Discriminant
b^2 - 4ac used to check roots.
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Common Exam Questions
Solve x^2 + 7x + 10 = 0.
3 marksmediumPaper 2
Model Answer
x = -2 or x = -5
What examiners want to see
- ✓Factorise to (x+2)(x+5).
Find the turning point of y = x^2 + 4x + 1.
3 marksmediumPaper 3
Model Answer
(-2, -3)
What examiners want to see
- ✓Complete the square or use formula.
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