Examples, solutions, videos, activities and worksheets that are suitable for A Level Maths.
How to sketch quadratic graphs by completing the square?
Sketching Quadratic Graphs by Completing the Square (part 1)
Sketching Quadratic Graphs by Completing the Square (part 2)
C1 - Completing the Square (Harder) and curve sketching
When the coefficient of x-squared is not 1 - these are harder.
Sketching curves using the completed square form: Vertex and equation of line of symmetry.
Using Completing the Square to sketch graphs
Manipulate a quadratic equation (the second half covers negative quadratics) to get the completed square form and then use this as a short cut to sketching the curve and finding the coordinates of the minimum / maximum.
By completing the square, find the maximum or minimum value of y and the value of x for which this occurs. State whether your value of y is a maximum or minimum in each case.
y = x2 - 2x + 7
y = x2 + 2x - 3
y = 1 - 6x + x2
Try the free Mathway calculator and
problem solver below to practice various math topics. Try the given examples, or type in your own
problem and check your answer with the step-by-step explanations.
We welcome your feedback, comments and questions about this site or page. Please submit your feedback or enquiries via our Feedback page.