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# What transformations change the graph of f(x) to the graph of g(x)? f(x)=-7x^2 g(x)=-35x^2+5 The graph of g(x) is the graph of f(x) stretched vertically by a factor of 1/5 and translated down 5 units. The graph of g(x) is the graph of f(x) stretched vertically by a factor of 5 and translated down 5 units. The graph of g(x) is the graph of f(x) stretched vertically by a facot of 1/5 and translated up 5 units. The graph of g(x) is the graph of f(x) stretched vertically by a factor of 5 and translated up 5 units.

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For this case we have that the main function is given by: We apply the following transformations: Vertical expansions: The graph of y = a * f (x) If a> 1, the graph of y = f (x) is expanded vertically by a factor. For a = 5, we have: Vertical translations: Suppose that k> 0 The graph of y = f (x) + k, move the graph k units up. For k = 5, we have: Answer: The graph of g (x) is the graph of f (x) stretched vertically by a factor of 5 and translated up 5 units.