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)?
g(x) is translated 6 units right from
f(x).
g(x) is translated 6 units left from
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 six units down from f(x).

Step-by-step explanation:

f(x ± k) is for a horizontal translation. So that rules out the first two.

f(x) ± k is a vertical translation. In this case, a negative number means it's moving down and a positive means it's moving up. Because we have a negative (in other words subtracting) we move line on the graph down.

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