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Unit 6
Quadratic Functions
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. |
parabola | The graph of a quadratic function. They look like a āuā 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. |