The graph of is first reflected in the -axis and then translated units upward

MATHEMATICS · Single correct · A Level · Mathematics · Algebra and Functions · Algebra and Functions

Problem

The graph of y=log⁡4xy=\log_{4} x is first reflected in the yy-axis and then translated 33 units upward. Which of the following is the equation of the resulting graph? (a) y=−log⁡4(−x)+3y=-\log_{4}(-x)+3 (b) y=log⁡4(−x+3)y=\log_{4}(-x+3) (c) y=log⁡4(−x)+3y=\log_{4}(-x)+3 (d) y=−log⁡4x+3y=-\log_{4}x+3

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