Mastering Quadratic Graphs
Mathematics
GCSE Foundation
11 questions
~22 mins
0 views0 downloads
About This Worksheet
A worksheet covering Quadratic Graphs for GCSE Foundation students.
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Mastering Quadratic Graphs
Subject: MathematicsGrade: GCSE Foundation
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Untitled Worksheet
Grade GCSE Foundation
A
Practice Questions
Answer all questions. Show your working in the grid spaces provided.
1.
Sketch the graph of y = x^2 for x from -3 to 3.
[3 marks]2.
Plot the points for y = (x - 2)^2 when x = 0, 1, 2, 3.
[2 marks]3.
Identify the vertex of y = x^2 + 4x + 3.
[2 marks]4.
Find the roots of y = x^2 - 5x + 6.
[2 marks]5.
What is the axis of symmetry for y = x^2 + 6x + 5?
[2 marks]6.
Determine whether the parabola y = -x^2 + 4x - 1 opens upwards or downwards.
[2 marks]7.
Calculate the vertex of y = 2x^2 - 8x + 5.
[3 marks]8.
Plot the graph of y = -x^2 + 2x + 1 and label the vertex.
[3 marks]9.
If the graph of y = ax^2 + bx + c passes through points (1, 0) and (3, 0), find the value of c in terms of a.
[4 marks]10.
A ball is thrown so that its height in meters after t seconds is given by y = -4t^2 + 8t + 2. When does the ball reach its maximum height? Show your working.
[4 marks]11.
A rectangular garden's length is modeled by y = 3x^2 + 2x, where x is the width in meters. If the garden's area is maximized, what are the dimensions? Show your reasoning.
[4 marks]Quick Actions
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- Created
- 12/30/2025
- Updated
- 12/30/2025
- Type
- worksheet