Help your students prepare for their Maths GCSE with this free plotting quadratic graphs worksheet of 30+ questions and answers
Suitable for GCSE maths revision for AQA, OCR and Edexcel exam boards
To plot a quadratic graph we use a table of values for x and y. The required x values are often given in a question but if they are not, a reasonable range to use would be -3 to 3. The y values are then calculated using the equation of the line. For example, if we are plotting y=x^2+2 and x is 1, then y=1^2+2=3.
Once we have a table of values, we can plot the pairs of points onto a coordinate grid. Quadratic graphs should be drawn as smooth curves and the shape of the graph of a quadratic function is always a parabola. If the coefficient of x^2 is positive, the graph will be u shaped and if it is negative it will be n shaped.
For a quadratic of the form y=ax^2+bx+c, The y intercept of the graph is c. The x intercepts, or roots, of the graph can be found by solving ax^2+bx+c=0 and the vertex, or turning point of the graph, can be found by completing the square. These pieces of information can be used to make a sketch of the quadratic graph.
Quadratics and quadratic graphs feature a lot in A Level maths including finding the gradient, calculating the area under the curve, and working with imaginary numbers and so working with quadratics is an important skill to master for those wanting to progress to A Level.
Looking forward, students can then progress to additional types of graph worksheets and other algebra worksheets, for example a sequences worksheet, simultaneous equations worksheet or straight line graphs worksheet.
There will be students in your class who require individual attention to help them succeed in their maths GCSEs. In a class of 30, it’s not always easy to provide.
Help your students feel confident with exam-style questions and the strategies they’ll need to answer them correctly with our dedicated GCSE maths revision programme.
Lessons are selected to provide support where each student needs it most, and specially-trained GCSE maths tutors adapt the pitch and pace of each lesson. This ensures a personalised revision programme that raises grades and boosts confidence.