Algebra 2 2-6 Independent Practice: Families of Functions

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by Matthew Richardson

| 10 Questions

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Compare and Contrast: Part A: The graph below shows f(x) = 0.5x - 1.

Graph g(x) by translating f(x) up 2 units and then stretching it vertically by the factor 2.

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Compare and Contrast: Part B: The graph below shows f(x) = 0.5x - 1.

Graph h(x) by stretching f(x) vertically by the factor 2 and then translating it up 2 units.

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Reasoning: Can you give an example of a function for which a horizontal translation gives the same resulting graph as a vertical translation? Explain.

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Analysis: Find a new function g(x) transformed from f(x) = -x - 2 such that g(x) is perpendicular to f(x).

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Reflection: Math Success

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