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Practice · Maths Higher
Q3 / 10Sketch y = x² − 4 and mark the roots and the vertex. (10 marks)
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Explore more practice questionsConsider the quadratic function f(x) = x² − 4.
Show all of your working. Sketches may be drawn freehand.
Part (a)
5 marksFind the roots of f(x) = 0.
Part (b)
10 marksSketch the graph of f(x), marking the roots and the vertex.
Part (c)
5 marksPhotograph or upload your handwritten working for the range of f(x).
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Practice · Maths Higher
Q3 / 10Sketch y = x² − 4 and mark the roots and the vertex. (10 marks)
Product preview · Sample data
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Practice Library
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.
Product preview · Sample data
Marking · Quadratics revision
3 of 24Student answer · A. Byrne
Typed working
x² − 4 = 0 → (x−2)(x+2) = 0 → x = 2, x = −2
Sketch attached
Mark
Feedback
…
Product preview · Sample data
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UniDoodle is the brainchild of Dr Seamus McLoone, an electronic engineering lecturer at Maynooth University in Ireland. Frustrated by the limitations of traditional clicker systems, he created UniDoodle so students could take a more active role in the classroom.
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