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Quadratic Functions

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Term
Definition
Quadratic function   A function in the form y=ax2+bx+c (or f(x)=ax2+bx+c). They form a parabola when graphed and have second differences that are the same.  
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parabola   The graph of a quadratic function. They look like a ā€œuā€ that keeps going outwards.  
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Vertex   The bottom or top point of the parabola.  
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Minimum   The lowest point of a function or graph.  
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Maximum   The highest point of a function or graph.  
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Symmetry   Being the same on both sides of a line. Each sides is a reflection of the other across a line.  
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Axis (or line) of symmetry   The line running through the vertex. All of the other points have matching points on each side. One side of the parabola is a reflection across this line of the other line.  
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Symmetric pairs   Each pair of points that are the same distance across the line of symmetry.  
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First differences   If the changes in x are constant, the first differences are the changes in y. For linear equations they would be constant.  
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Second differences   If the changes in x are constant, the second differences are the differences in the first differences. For quadratic functions they would be constant.  
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Best fit curve   The function that best fits a set of collected data.  
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