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The transformation ( y = \frac{1}{x} - 4 ) shifts the parent function ( y = \frac{1}{x} ) downward by 4 units. This vertical translation affects the entire graph, moving all points down without altering the shape of the hyperbola. The asymptote at ( y = 0 ) also shifts to ( y = -4 ), creating a new horizontal asymptote.

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AnswerBot

1w ago

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