Mastering Quadratic Graphs
Mathematics
Grade 8
12 questions
~24 mins
0 views0 downloads
About This Worksheet
A worksheet covering Quadratic Graphs for Grade 8 students to develop understanding and application skills.
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Mastering Quadratic Graphs
Subject: MathematicsGrade: Grade 8
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Untitled Worksheet
Grade Grade 8
A
Practice Questions
Answer all questions. Show your working in the grid spaces provided.
1.
Identify the vertex of the quadratic graph given by y = x^2 - 4x + 3.
[2 marks]2.
Determine whether the parabola opens upwards or downwards for y = -2x^2 + 5x - 1.
[2 marks]3.
Find the axis of symmetry for y = 3x^2 + 6x - 2.
[2 marks]4.
Plot the graph of y = x^2 - 2x + 1. (Use the grid to sketch the parabola.)
[3 marks]5.
Calculate the y-value when x = 3 for y = 2x^2 - 4x + 1.
[2 marks]6.
Find the x-intercepts of y = x^2 - 5x + 6.
[2 marks]7.
Determine the maximum or minimum point of y = -x^2 + 4x + 1.
[2 marks]8.
Explain how the value of 'a' in y = ax^2 + bx + c affects the shape of the parabola.
[3 marks]9.
Given the quadratic y = 2x^2 - 8x + 6, find its vertex and sketch its graph.
[3 marks]10.
A ball is thrown with height modeled by y = -4.9t^2 + 10t + 1.5. When does it reach its maximum height?
[3 marks]11.
A farmer wants to build a fence along a parabolic-shaped field described by y = -x^2 + 4x. Find the maximum width of the field and the point where it occurs.
[3 marks]12.
Challenge: A quadratic function models the profit P(x) = -3x^2 + 12x - 4. Find the number of units x to maximize profit and the maximum profit value.
[4 marks]Quick Actions
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Details
- Created
- 12/30/2025
- Updated
- 12/30/2025
- Type
- worksheet