How does the graph of g(x)=cos(x)−12 compare with the parent function g(x)=cosx ?(1 point) Responses The graph is shifted 12 units up. The graph is shifted 12 units up. The graph is shifted 12 units down. The graph is shifted 12 units down. The graph is shifted 12 units left. The graph is shifted 12 units left. The graph is shifted 12 units right.

Answer 1

The function \( g(x) = \cos(x) - 12 \) represents a vertical shift of the parent function \( g(x) = \cos(x) \). The "-12" indicates that the entire graph of the cosine function is shifted down by 12 units.

So the correct response is: The graph is shifted 12 units down.