Quadratic Graphs
Quadratic graphs produce a characteristic U-shape (parabola). Students must plot quadratics from tables, identify key features like turning points and roots, and use graphs to solve equations.
What You'll Learn
- Plotting quadratic graphs from a table of values
- Identifying the turning point (vertex) and line of symmetry
- Reading solutions to equations from a quadratic graph
- Sketching quadratics using roots and the y-intercept
Watch Out For These Mistakes
Students make these errors again and again. Knowing them in advance gives you a head start.
Joining plotted points with straight lines instead of a smooth curve
Making sign errors when substituting negative x-values into the equation
Forgetting that the parabola opens downward when the coefficient of x squared is negative
What Examiners Say About Quadratic Graphs
Insights pulled from Cambridge IGCSE (0580) examiner reports — the exact mistakes candidates make every year.
- Misconception●●●●●
You can ONLY cancel FACTORS (things multiplied), not terms added/subtracted. Factorise numerator and denominator first, then cancel matching brackets. Never cancel x² from x² − 25.
Source: CIE 0580 · May/June 2021 · Paper 4 · Q7a
- Presentation●●●●●
In 'show that k = 8' questions, you must DERIVE 8, not assume it. Starting from 'k = 8' and working both ways is circular and scores zero. Work from the given info towards the target.
Source: CIE 0580 · May/June 2021 · Paper 3 · Q5
- Common Mistake●●●●●
When raising a power to a power, MULTIPLY the exponents: (x³)³ = x⁹, not x⁶. But for coefficients like (4x³)³, the coefficient is raised: 4³ = 64, not 4 × 3 = 12.
Source: CIE 0580 · Feb/March 2024 · Paper 2 · Q21b
Based on 3of 500+ insights extracted from CIE 0580 examiner reports (2018–2024).
Exam Coverage
This topic appears in the Cambridge IGCSE past papers. Our AI tutor can help with it on any question.
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