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If f(x) = 10^x is the parent function and a transformation takes place to create g(x) = 10^x^+^2, describe the transformation

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Final answer:

The transformation involves a horizontal shift of the parent function f(x) = 10^x to the left by 2 units to create the transformed function g(x) = 10^(x+2).

Step-by-step explanation:

When we compare the parent function f(x) = 10^x with the transformed function g(x) = 10^(x+2), we can identify the transformation between the two. In this case, the function g(x) represents a horizontal shift of the parent function. Since the exponent in g(x) has been increased by 2, this means that every x-value for the parent function has been decreased by 2 to maintain the same y-value in the transformed function.

This is a result of the algebraic property where f(x - d) indicates a translation to the right by d units, so f(x + 2) translates the function to the left by 2 units on the x-axis.

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