How does the graph of g(x) = 3X – 2 compare to the graph of f(x) = 3X? The graph of g(x) is a translation of f(x) 2 units left.
The graph of g(x) is a translation of f(x) 2 units right.
O The graph of g(x) is a translation of f(x) 2 units up.
The graph of g(x) is a translation of f(x) 2 units down.

Using translation concepts, it is found that:

The graph of g(x) is a translation of f(x) 2 units down.

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Translating a function f(x) a units down is the same as finding f(x) - a.

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In this question:

Thus, g(x) is f(x) translated 2 units down, and the correct option is:

The graph of g(x) is a translation of f(x) 2 units down.

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At the end, the graph is given, with f(x) in red and g(x) in blue.

A similar problem is given at link

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