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Quadratics

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Term
Definition
quadratic function   a second degree polynomial function where a, b, and c are real numbers  
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axis of symmetry   line through the graph of a parabola that divides the graph into two congruent halves  
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vertex   the axis of symmetry will intersect a parabola at this point  
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maximum/minimum value   the y-coordinate of the vertex of a quadratic function  
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quadratic equations   quadratic functions that are set equal to a value  
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roots   solutions of a quadratic equation  
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FOIL method   stands for: first, inner, outer, last. Uses the distributive property to multiply binomials.  
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pure imaginary numbers   square roots of negative real numbers  
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completing the square   manipulating the equation until one side is a perfect square, then solving using the square root property  
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quadratic formula   a formula that can solve any quadratic equation. this formula can be derived by solving the standard form of a quadratic equation.  
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discriminant   the part of the quadratic formula that is under the square root sign  
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quadratic term   the "ax^2" in a quadratic funtion  
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linear term   the "bx" in a quadratic function  
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constant term   the "c" in a quadratic function  
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parabola   the graph of a quadratic function  
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zeros   the x-intercepts of a parabola.  
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factored form   0= a(x - p)(x - q)  
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imaginary unit i   defined to be "i^2 = -1".  
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complex number   when a real number and an imaginary number cannot be combined so the equation is left alone. example: 2+4i  
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complex conjugates   two complex numbers of the form of a + bi and a - bi. the product of this is always a real number  
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Created by: sethweir
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