Since 2008, when I started my private practice as a math tutor in Las Vegas, I have used a unified formula that captures all six of the possible transformations that can be applied to a function. Textbooks, by contrast, typically teach the transformations separately. The photo above was well received by a calculus student who utilized my math tutoring services for a refresher in precalculus. From left to right, the possible transformations are as follows:
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Mr. Ken Marciel

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