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Unit 6

Quadratic Functions

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.
parabola The graph of a quadratic function. They look like a “u” that keeps going outwards.
Vertex The bottom or top point of the parabola.
Minimum The lowest point of a function or graph.
Maximum The highest point of a function or graph.
Symmetry Being the same on both sides of a line. Each sides is a reflection of the other across a line.
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.
Symmetric pairs Each pair of points that are the same distance across the line of symmetry.
First differences If the changes in x are constant, the first differences are the changes in y. For linear equations they would be constant.
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.
Best fit curve The function that best fits a set of collected data.
Created by: meminot