Let f(x)= ( 3 4 ) x . Let g(x)= ( 3 4 ) x −6 . Which statement describes the graph of g(x) with respect to the graph of f(x) ? . Which statement describes the graph of g(x) with respect to the graph of f(x) ? g(x) is translated 6 units down from f(x) . g(x) is translated 6 units up from f(x) . g(x) is translated 6 units right from f(x) . g(x) is translated 6 units left from f(x) .

If the function f(x) translated horizontally to the right by h units, then its image is g(x) = f(x - h)
If the function f(x) translated horizontally to the left by h units, then its image is g(x) = f(x + h)
If the function f(x) translated vertically up by k units, then its image is g(x) = f(x) + k
If the function f(x) translated vertically down by k units, then its image is g(x) = f(x) - k

∵ f(x) = [tex]\frac{3}{4}[/tex] x

∵ g(x) = [tex]\frac{3}{4}[/tex] x - 6

- By using the last rule above the graph of f(x) translated 6 units down,

then the new graph will represent g(x)

∴ g(x) is the image of f(x) after translation 6 units down

The statement which describes the graph of g(x) with respect to the

graph of f(x) is: g(x) is translated 6 units down from f(x)

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