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Quadratic function transformations involve shifting, stretching, compressing, and reflecting the graph of parabola. Vertical and horizontal shifts are made by adding constants to the function or its input, while vertical stretching or compressing is achieved by multiplying by a constant. Reflections over the `x`-axis occur by multiplying the function by `-1`, altering the graph's position and shape while retaining its parabolic form.

Algebra 2

Quadratic Functions