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Practice · Maths Higher

Q3 / 10

Sketch y = x² − 4 and mark the roots and the vertex. (10 marks)

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Maths · Higher
Irish Leaving Certificate 2025
Paper 1 · Section A · Q1

Consider the quadratic function f(x) = x² − 4.

Show all of your working. Sketches may be drawn freehand.

Part (a)

5 marks

Find the roots of f(x) = 0.

Part (b)

10 marks

Sketch the graph of f(x), marking the roots and the vertex.

Part (c)

5 marks

Photograph or upload your handwritten working for the range of f(x).

Your answer · Part (a)

Suggested for this part: type — but you can Type, Sketch, Upload, use your Camera or send from your Phone.

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Maths Higher · Quadratics

Question 4 of 10 · resume where you left off

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Exam

Leaving Cert

Level

Higher

Subject

Maths

Topic

Quadratics

Year

2019–2024

  • 2024 · Paper 1 · Q3(b)

    Solve the quadratic and interpret the roots.

  • 2023 · Paper 1 · Q5(a)

    Sketch the curve and state the turning point.

  • 2022 · Paper 2 · Q7

    Use the discriminant to justify your answer.

  • 2021 · Paper 1 · Q2(c)

    Complete the square and explain each step.

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Show your working for the roots.

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Sketch y = x² − 4 and mark the roots.

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