y = ax² + bx + c: Error Analysis & Misconceptions
Mathematics
GCSE Foundation
12 questions
~24 mins
1 views0 downloads
About This Worksheet
A worksheet focusing on identifying misconceptions and errors when working with quadratic functions of the form y = ax² + bx + c. Designed to test procedural and conceptual understanding.
Worksheet Preview
Full preview • 12 questions
y = ax² + bx + c: Error Analysis & Misconceptions
Subject: MathematicsGrade: GCSE Foundation
Name:
Date:
TeachWhizzTeachWhizzTeachWhizzTeachWhizzTeachWhizzTeachWhizzTeachWhizzTeachWhizzTeachWhizzTeachWhizzTeachWhizzTeachWhizzTeachWhizzTeachWhizzTeachWhizzTeachWhizzTeachWhizzTeachWhizzTeachWhizzTeachWhizzTeachWhizzTeachWhizzTeachWhizzTeachWhizzTeachWhizzTeachWhizzTeachWhizzTeachWhizzTeachWhizzTeachWhizzTeachWhizzTeachWhizzTeachWhizzTeachWhizzTeachWhizzTeachWhizzTeachWhizzTeachWhizzTeachWhizzTeachWhizz
Untitled Worksheet
Grade GCSE Foundation
A
Practice Questions
Answer all questions. Show your working in the grid spaces provided.
1.
Plot the graph of y = 2x² - 4x + 1 on the grid.
[3 marks]2.
Calculate the key features of y = -x² + 6x - 5, including the vertex and axis of symmetry.
[4 marks]3.
An error was made in plotting y = 3x² + 2x - 1: the vertex was marked at (2, 5) based on incorrect calculations. Identify and correct the mistake.
[4 marks]4.
Construct a quadratic graph with a vertex at (3, -4) and passing through (4, -3). What is the equation of the parabola?
[4 marks]5.
A student claims that changing the sign of coefficient b in y = ax² + bx + c always shifts the parabola horizontally. Is this true? Explain briefly.
[3 marks]6.
Plot the parabola y = -0.5x² + 2x - 1. Verify if the vertex is at the point you expect based on the coefficients.
[3 marks]7.
Identify the common mistake in the following statement: 'Changing a from positive to negative makes the parabola open downward.' Is this always true? Justify your answer.
[3 marks]8.
Given the quadratic y = 4x² + 8x + 3, find the y-value when x = -1. Show your working.
[2 marks]9.
A graph of y = x² + 4x + 5 was plotted, but the vertex is incorrectly marked at (-2, 1). Check this point and suggest the correct vertex coordinates.
[4 marks]10.
Write an equation of a parabola with a vertex at (0, 0) that opens upward and passes through (1, 1).
[3 marks]11.
Explain why the graph of y = -2x² + 4x + 7 is narrower than y = x² + 2x + 1.
[3 marks]12.
A quadratic function y = ax² + bx + c has a vertex at (2, -3). If the parabola passes through (3, 0), find the possible value of a.
[4 marks]Quick Actions
What is Remix?
Create a new worksheet based on this one. Change the grade level, topic, number of questions, or difficulty - then generate a fresh version.
- • Change grade level (Grade 6 → Grade 7)
- • Swap topics (Harry Potter → Macbeth)
- • Add more questions (10 → 15)
- • Adjust difficulty
Details
- Created
- 1/1/2026
- Updated
- 1/1/2026
- Type
- worksheet