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Suppose that f(x) and g(x) are functions for which g(x) = f(x) – 5 for all values of x. a.How are the graphs of f(x) and g(x) related geometrically? b. If f(x) has a local minimum at (–4, –2) and a local maximum at (3, 7), what (if anything) can be said about local minimum and maximum points for g(x)? c. If g(x) has y-intercept (0, –1), what is the y- intercept of f(x)? d. If f(x) has zeroes at x = 7 and x = –1, what (if anything) can be said about the zeroes of g(x)?

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Suppose that f(x) and g(x) are functions for which g(x) = –f(x) for all values of x. a. How are the graphs of f(x) and g(x) related geometrically? b. If f(x) has a local minimum at (–6, –3) and a local maximum at (5, 2), what (if anything) can be said about local minimum and maximum points for g(x)? c. If f(x) has y-intercept (0, –7), what is the y- intercept of g(x)? d. If f(x) has zeroes at x = 2 and x = –3, what (if anything) can be said about the zeroes of g(x)?

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Suppose that f(x) and g(x) are functions for which g(x) = f(x – 3) for all values of x. a. How are the graphs of f(x) and g(x) related geometrically? b. If f(x) has a local minimum at (–4, –2) and a local maximum at (3, 1), what can be said about local minimum and maximum points for g(x)? c. If f(x) has y-intercept (0, –4), what is the y- intercept of g(x)? d. If f(x) has zeroes at x = 7 and x = –1, what (if anything) can be said about the zeroes of g(x)?

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Find the rule for the function g(x) whose graph is the image of the graph of f(x) under the indicated transformations

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1.1B Horizontal and Vertical Translations

1.1B Horizontal and Vertical Translations

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