Question

question attached!answer choices a. the graph of f(x) is shifted k units to the left of the graph of g(x)b. the graph of f(x) is shifted k units to the right of the graph of g(x)c. the graph of f(x) is shifted k units above of the graph of g(x)d. the graph of f(x) is shifted k units below the graph of g(x)

Answer 1

Recall that the function represented by the graph of h(x) translated n units down is:

$h(x)-n.$

Notice that:

$f(x)=g(x)+k.$

Since k<0, then the graph of f(x) is the graph of g(x) translated k units down.

Answer: Option d.