Mastering Quadratic Graphs
Mathematics
GCSE Higher
10 questions
~20 mins
0 views0 downloads
About This Worksheet
A worksheet covering Quadratic Graphs for GCSE Higher students, focusing on understanding and applying the key concepts and equations of quadratic functions.
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Mastering Quadratic Graphs
Subject: MathematicsGrade: GCSE Higher
Name:
Date:
Untitled Worksheet
Grade GCSE Higher
A
Practice Questions
Answer all questions. Show your working in the grid spaces provided.
1.
Write down the standard form of the quadratic equation y = 2x^2 - 4x + 1.
[2 marks]2.
Identify the vertex of the quadratic graph y = -x^2 + 4x - 3.
[2 marks]3.
Calculate the y-value when x = 3 for the equation y = x^2 - 6x + 5.
[2 marks]4.
Determine the axis of symmetry for y = 3x^2 + 6x - 2.
[2 marks]5.
Sketch the graph of y = x^2 - 4x + 3. Label the vertex and y-intercept.
[4 marks]6.
Find the roots of the quadratic equation y = x^2 - 5x + 6 by graphing.
[2 marks]7.
Given the quadratic y = -2x^2 + 4x + 1, determine its maximum point.
[2 marks]8.
Compare the graphs of y = x^2 and y = -x^2. Describe their key differences.
[3 marks]9.
If a quadratic graph has a vertex at (3, -2) and passes through (2, 0), find its equation.
[3 marks]10.
Challenge: A ball is thrown and its height in meters after t seconds is given by y = -4.9t^2 + 10t + 1.5. Sketch the graph and determine the maximum height and when it occurs.
[4 marks]Quick Actions
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Details
- Created
- 12/30/2025
- Updated
- 12/30/2025
- Type
- worksheet