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Part C: Compare the Graphs of f(x) = x2 and f(x) = (x - p)? 7. a) Graph the following functions on the same set

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Part C: Compare the Graphs of f(x) = x2 and f(x) = (x - p)? 7. a) Graph the following functions on the same set of coordinate axes with or without technology. f (x) = x2 f ( x) = (x - 2)2 f ( x) = (x+ 1)2 b) Describe how the graph of each function compares to the graph of f(x) = x2. c) What relationship do you observe between the parameter, p, and the location of the corresponding graph? 8. a) Using a variety of values of p, write several of your own functions of the form f(x) = (x - p). Include both positive and negative values. b) Predict how these functions will compare to f(x) = x2. Test your prediction. Reflect and Respond 9. Develop a rule that describes how the value of p in f(x) = (x - p) changes the graph of f(x) = x2 when p is a) a positive number b) a negative number

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