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I am teaching a chapter on Quadratics to an Advanced Algebra class this month and I was wondering if someone could help me with a little history of quadratics. I can understand how Linear equations got their name (i.e. they form lines) but how did a name like Quadratics emerge? Maybe a squared function becomes quadrupled and not doubled??? Why not call them Parabolic functions? This might make a logical segue from Linear functions. ax^2 + bx + c is a parabolic function? a quadratic function? What else would you call a linear function?
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