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Quadratic Graphs Worksheet
Help your students prepare for their Maths GCSE with this free quadratic graphs worksheet of 30+ questions and answers
- Section 1 of the quadratic graphs worksheet contains 20+ skills-based quadratic graphs questions, in 3 groups to support differentiation
- Section 2 contains 3 applied quadratic graphs questions with a mix of worded problems and deeper problem solving style questions
- Section 3 contains 3 foundation and higher level GCSE quadratic graphs exam questions
- Answers and a mark scheme for all quadratic graphs questions are provided
- Questions follow variation theory with plenty of opportunities for students to work independently at their own level
- All questions created by fully qualified expert secondary maths teachers
- Suitable for GCSE maths revision for AQA, OCR and Edexcel exam boards
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Quadratic graphs at a glance
Quadratic graphs are a way of visually representing quadratic functions. Quadratic functions are functions in which the highest power of the variable is 2 and may also contain terms in x or constants. The general form for a quadratic function is y=ax2+bx+c.
There are two main methods for plotting graphs of quadratic functions. The first is to use the equation of the line to create a table of values of x and y. These can then be plotted as coordinates on a set of axes.
The second method for plotting quadratics is to create a sketch of the graph. When sketching quadratics, we need to determine the y intercept of the graph, the x intercepts of the graph and the turning point, or vertex, of the graph. If the equation of the line is y=ax2+bx+c, then the y intercept is c and the x intercepts are the roots of the equation ax2+bx+c=0 (since y is 0 along the x axis). The roots to this quadratic equation could be found by factorising or using the quadratic formula. The turning point of the graph can be found by completing the square.
A quadratic function will always produce either a u or n shaped graph called a parabola. If the coefficient of x2 is positive, it will be u shaped and if it is negative then it will be n shaped. Quadratics must be drawn as a smooth curve.
Looking forward, students can then progress to additional types of graph worksheets and on to more algebra worksheets, for example a factorising worksheet or simultaneous equations worksheet.
For more teaching and learning support on Algebra our GCSE maths lessons provide step by step support for all GCSE maths concepts.
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