Analyze how transformations affect the graph of a polynomial function given in vertex form and interpret their meaning in context. a. Identify how the graph of a quadratic function changes when f(x) is replaced by f(x + k), f(x) + k, and kf(x) and determine the value of k from the graph. Describe the type of transformation. b. Explain the meaning of each transformation by connecting the structure of the transformed function to the quantities it represents (e.g., how changes affect the vertex, direction of opening, and rate of change).
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