Mastering Quadratic Graphs
Mathematics
Grade 8
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A worksheet covering Quadratic Graphs for Grade 8 students.
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Mastering Quadratic Graphs
Subject: MathematicsGrade: Grade 8
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Date:
Untitled Worksheet
Grade Grade 8
A
Introduction
Review the key concepts of quadratic equations and how to plot their graphs. Recall the standard form y = ax^2 + bx + c and the vertex form y = a(x - h)^2 + k.
B
Practice Questions
Answer all questions. Show your working in the grid spaces provided.
1.
Write the quadratic equation in standard form for a parabola with roots at x=2 and x=5, passing through the point (3, -4).
[3 marks]2.
Identify the vertex of the quadratic function y = 2x^2 - 8x + 3.
[2 marks]3.
Plot the quadratic y = -x^2 + 4x + 1 on the grid provided. (Describe the vertex and intercepts.)
[3 marks]4.
Determine whether the parabola y = 3x^2 - 12x + 7 opens upwards or downwards.
[1 mark]5.
Calculate the axis of symmetry for y = -2x^2 + 8x - 5.
[2 marks]6.
If a parabola has a vertex at (3, -4) and opens upwards, write its vertex form equation assuming the parabola passes through the point (4, -3).
[3 marks]7.
Determine the y-intercept of y = x^2 - 6x + 9.
[2 marks]8.
Explain how the value of 'a' in y = ax^2 + bx + c affects the width and direction of the parabola.
[2 marks]9.
Find the roots of y = x^2 - 4x - 5.
[3 marks]10.
Challenge: A real-world scenario involves a ball thrown upwards following the path y = -2x^2 + 8x + 3. Find the maximum height reached by the ball and the time (x-value) at which it occurs.
[4 marks]Quick Actions
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Details
- Created
- 12/30/2025
- Updated
- 12/30/2025
- Type
- worksheet