Question

The function f(x)=log(x+2) is translated to get g(x)=log(x-2). What is the effect on f(x)?

Answer 1

The effect on f(x) is a horizontal shift to the right by 4 units.

Step-by-step explanation:

The effect of translating the function f(x) = log(x+2) to g(x) = log(x-2) is a horizontal shift to the right by 4 units.

When the argument of the logarithm function is increased, it shifts the graph of the logarithm function to the left. Conversely, when the argument is decreased, it shifts the graph to the right.

Therefore, the translation of f(x) to g(x) moves the graph of f(x) four units to the right.