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This fun activity guides learners through an exploration of the effects of replacing f(x) with -f(x), f(x) + c, k f(x), and f(x + c). Using graphing calculators, students experiment with variations of the graph of y = x^2 to design a fireworks display. The process leads to the discovery of how to change an equation to make its graph shift right, left, up, or down. The activity is open-ended and allows learners the freedom to explore within minimal constraints.
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