Question

What transformation has changed the parent function f(x) = log4 x to its new appearance shown in the graph below?

Answer 1

We know the graph of the parent function will pass through the point (1, 0). If that is the point that is transformed, it is shifted 5 to the left and 5 up. The appropriate choice is

... f(x + 5) + 5

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The graph has an infinite number of points, any one of which can be transformed to the given point. There are an infinite number of transformations that will satisfy the problem requirements. However, only one of those listed will do so.