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Functions f(x) and g(x) are shown below. f(x) = x^2 g(x) = x^2 8x 16 In which direction and by how many units should f(x) be shifted to obtain g(x)?
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Functions f(x) and g(x) are shown below. f(x) = x^2 g(x) = x^2 8x 16 In which direction and by how many units should f(x) be shifted to obtain g(x)?
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Sep 3, 2016
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Functions f(x) and g(x) are shown below.
f(x) = x^2
g(x) = x^2 8x 16
In which direction and by how many units should f(x) be shifted to obtain g(x)?
Mathematics
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Kshitiz
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Kshitiz
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We can factor g(x) as
. Clearly, g(x) is simply f(x+4), so f(x) should increase each x by 4 to achieve the same result as g(x). Therefore, f(x) should be shifted 4 units in the positive-x (or right) direction.
Rujoota Shah
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Sep 10, 2016
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Rujoota Shah
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