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I love to use this worksheet as students work in pairs. Using their graphing calculators, students are to graph various functions. They start with a parent function, and then graph a couple of transformations of that function. Based on their graphs, they come to conclusions about how the numbers in the function affect the way the function is graphed.
For example, students are first asked to graph y=x^2 followed by y=x^2+2 and y=x^2-3. From these graphs, students are table to tell that adding 2 to the function caused the graph to shift up 2 units while subtract 3 shifts the graph down 3 units.
Students will graph quadratic, cubic, absolute value, exponential and linear functions as they discover the various transformations.