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All quadratic functions have the same type of curved graphs with a line of symmetry. The graph of the quadratic function y = a x 2 + b x + c is a smooth curve with one turning point.
Learn how to use functions to represent translations, sketches, compressions and reflections of graphs with GCSE Bitesize Maths.
Ivan Baggs, Functions with a Closed Graph, Proceedings of the American Mathematical Society, Vol. 43, No. 2 (Apr., 1974), pp. 439-442 ...