Translations of Functions

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If a function is translated right 1 unit and up 5 units, what is the equation of the transformed function?

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If f(x) = 2x+5 is translated right 2 units, what is the new equation?

Back

2(x-2)+5

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Front

What is the effect of a horizontal translation on the graph of a function?

Back

It shifts the graph left or right depending on the sign of the value added or subtracted.

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How do you write the equation of a function after a translation?

Back

You replace x with (x - h) or (x + h) for horizontal shifts and add or subtract 'k' for vertical shifts.