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Unlike a linear, graph, a quadratic graph has an equation which includes an x squared term.
Graphing calculators have more advanced capabilities for higher-level math than scientific calculators, with larger, more dynamic screens for graphing functions and plotting coordinates.
These devices can do all of the calculations of a scientific calculator, plus graph equations, make function tables and solve equations.
Robert H. Risch, Algebraic Properties of the Elementary Functions of Analysis, American Journal of Mathematics, Vol. 101, No. 4 (Aug., 1979), pp. 743-759 ...
Tsuneo Tamagawa, On the ζ-Functions of a Division Algebra, Annals of Mathematics, Vol. 77, No. 2 (Mar., 1963), pp. 387-405 ...