Transformation of Logarithmic Function.

Transformation of Logarithmic function is basically the same as transformation of polynomial function.

The general form of form of logarithm is f(x) = a log [ k ( x - d ) ] + c

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When we do transformation we need to find an anchor point to be shown on the graph after we transformed the logarithmic function. I encourage you to find those easy points like (1, 0) or (10, 1). Move these original point in the equation y = log x after you add in other transformation.

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Steps to follow when we are doing transformation,


1. start from horizontal / vertical stretch / compression.

2. Then we continue with reflection (at either y-axis or x-axis).

3. Then, horizontal / vertical translation.

At last, it's important to add in the asymptote too! For logarithmic function, there is no horizontal asymptote as the range of logarithmic function is infinity. There is only vertical asymptote. State the point of the x-intercept and if there is y-intercept please state the point too.

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i took a photo of our text book. I hope it helps! :)

I also found you a video about logarithmic transformation! This is a detailed video as he show us everything in step-by-step! Have great morning! XD

For more information, please visit this link -----> Click me!!! :)