Mastering Quadratic Graphs
Mathematics
Grade 8
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About This Worksheet
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 basic form of a quadratic function: y = ax^2 + bx + c. Recall that the graph of a quadratic function is a parabola, opening upwards if a > 0 and downwards if a < 0.
B
Practice Questions
Answer all questions. Show your working in the grid spaces provided.
1.
Identify the vertex form of the quadratic function y = 2x^2 + 8x + 6.
[2 marks]2.
Calculate the y-value when x = 3 for the function y = -x^2 + 4x - 1.
[2 marks]3.
Determine whether the parabola y = x^2 - 6x + 5 opens upwards or downwards.
[2 marks]4.
Find the axis of symmetry for y = 3x^2 - 12x + 7.
[2 marks]5.
Plot the quadratic y = x^2 - 4x + 3 on the graph. What are the coordinates of the vertex?
[3 marks]6.
Determine the roots of y = x^2 - 5x + 6.
[2 marks]7.
If a quadratic function has roots at x = -1 and x = 4, write its quadratic equation in standard form.
[3 marks]8.
Explain how the value of 'a' in y = ax^2 + bx + c affects the width and direction of the parabola.
[3 marks]9.
Given the graph of y = -2x^2 + 4x + 1, find the maximum point and its coordinates.
[3 marks]10.
A ball is thrown such that its height in meters after t seconds is given by y = -4t^2 + 8t + 2. How long does it take for the ball to reach its highest point?
[3 marks]11.
A quadratic function models the area of a rectangle with length x meters and width (x - 3) meters. Write an expression for the area and determine the value of x that maximizes the area.
[4 marks]Quick Actions
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- Created
- 12/30/2025
- Updated
- 12/30/2025
- Type
- worksheet