Graph of Logarithmic Functions - Problem 4

Explanation

If you know the basic parent graph, asymptote, and a few key points for f(x)=log x, you can quickly graph log functions using transformation rules. In f(x) = alog(x - b) + c , negative "a" represents a reflection across the x axis, "b" represents a horizontal shift (take the asymptote, too!) and "c" represents a vertical shift. If you get lost, plug in a few values for x and find the corresponding y values to get some points on the graph.

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logarithm functions graph transformation