Question

Trinity claims that the graph of the function g(x) = ƒ(x – k) is located k units to the right of the graph of ƒ(x) Which statement best describes Trinity's claim?

A. The claim is never true, since the graph of ƒ(x) is shifted up or down by k units.
B. The claim is always true, since any value of k will shift the graph of ƒ(x) to the right.
C. The claim is only true for k ≤ 0, since positive values of k will shift the graph of ƒ(x) to the left.
D. The claim is only true for k ≥ 0, since negative values of k will shift the graph of ƒ(x) to the left

Answer 1

to move a function, k units to the right, minus k from every x

the claim is always true when k is positive
because if k is negaitve, then it is double negative, meaning it shifts to the right negative units, aka moving to the left that amount of units


D is the right answer

Answer 2

the last one is right