Given the graphs of f(x) and g(x) below, which of the following could be an equation for g(x) written
in terms of f(x)?
f(x)
g(x)
g(x) = f(x-4)² - 4
g(x) = f(x − 4)² +4
g(x) = f(x+4)2 +4
g(x) = f(x+4)² - 4



Answer :

g(x) = f(x+4)² - 4

This equation correctly describes the transformation of f(x) to g(x):

1. Shift 4 units left: (x+4)

2. Square the function: ()²

3. Shift 4 units down: - 4

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