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Question: Which of the following represents the equation of the graph obtained by a vertical translation of 7 units downwards followed by a reflection across the y -axis on the graph of y = f (x )? A ) y = 7 - f (x ) B ) y = - f (x - 7) C ) y = f (- x ) - 7 D ) y = f (x ) - 7 Steps to derive 1 y = f (x ) - 7 represents the equation of the graph obtained by a vertical translation of 7 units down on the graph of y = f (x ).2 The reflection of y = f (x ) - 7 across the y -axis is y = (f (- x ) - 7) = f (- x ) - 7.3 So, y = f (- x ) - 7 represents the equation of the graph obtained by a vertical translation of 7 units down followed by a reflection across the y -axis on the graph of y = f (x ).Hence the right answer is Option C Click Here To Go Back Few Other Questions - From the polar co-ordinate system, the coordinates of P are ________ ... Locate the points P(4, 50°) and Q(3, 120°) in the same polar co-ordinate system... 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