Quadratic expressions

A quadratic expression like x^2 - 4x + 3 can be rewritten in different equivalent forms: standard (x^2 - 4x + 3), factored ((x-1)(x-3)), or vertex form ((x-2)^2 - 1), and each form reveals a different useful property: factored form reveals the zeros (x = 1 and x = 3), and vertex form reveals the maximum or minimum, here a minimum at (2, -1) since this parabola opens upward.

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